{"id":252,"date":"2016-12-22T19:51:49","date_gmt":"2016-12-22T19:51:49","guid":{"rendered":"http:\/\/rentabilitet.dk\/opgaver\/?page_id=252"},"modified":"2016-12-22T19:51:49","modified_gmt":"2016-12-22T19:51:49","slug":"differentialregning","status":"publish","type":"page","link":"https:\/\/rentabilitet.dk\/opgaver\/matematik\/differentialregning\/","title":{"rendered":"Differentialregning"},"content":{"rendered":"<html xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:default=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n<style>\n.docxpressoPlugin {\n\tfont-size: 83.35%;\n}\n\n.h5p_layout {\n    box-sizing: content-box !important;\n}\n\n.h5p_layout *{\n    float: none;\n    text-align: initial;\n\tbox-sizing: border-box;\n}\n\/*to make sure that floating elements are always inside the document bounds*\/\n.h5p_layout:after {\n    content: \" \";\n    display: block;\n    height: 0;\n    clear: both;\n    visibility: hidden;\n}\n\/* a default layout for documents without maste 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\";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO4 ul ul ul {counter-reset: ulLFO4_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li:before {counter-increment: ulLFO4_3;content: counter(ulLFO4_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO4 ul ul ul ul {counter-reset: ulLFO4_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li:before {counter-increment: ulLFO4_4;content: counter(ulLFO4_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO4 ul ul ul ul ul {counter-reset: ulLFO4_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li ul li:before {counter-increment: ulLFO4_5;content: counter(ulLFO4_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO4 ul ul ul ul ul ul {counter-reset: ulLFO4_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_6;content: counter(ulLFO4_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO4 ul ul ul ul ul ul ul {counter-reset: ulLFO4_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_7;content: counter(ulLFO4_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO4 ul ul ul ul ul ul ul ul {counter-reset: ulLFO4_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_8;content: counter(ulLFO4_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO4 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO4_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_9;content: counter(ulLFO4_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO5 {counter-reset: ulLFO5_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 ul {counter-reset: ulLFO5_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li:before {counter-increment: ulLFO5_1;content: counter(ulLFO5_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO5 ul ul {counter-reset: ulLFO5_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li:before {counter-increment: ulLFO5_2;content: counter(ulLFO5_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO5 ul ul ul {counter-reset: ulLFO5_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li:before {counter-increment: ulLFO5_3;content: counter(ulLFO5_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO5 ul ul ul ul {counter-reset: ulLFO5_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li:before {counter-increment: ulLFO5_4;content: counter(ulLFO5_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO5 ul ul ul ul ul {counter-reset: ulLFO5_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li ul li:before {counter-increment: ulLFO5_5;content: counter(ulLFO5_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO5 ul ul ul ul ul ul {counter-reset: ulLFO5_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO5_6;content: counter(ulLFO5_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO5 ul ul ul ul ul ul ul {counter-reset: ulLFO5_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO5_7;content: counter(ulLFO5_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO5 ul ul ul ul ul ul ul ul {counter-reset: ulLFO5_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO5_8;content: counter(ulLFO5_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO5 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO5_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO5_9;content: counter(ulLFO5_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO6 {counter-reset: ulLFO6_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 ul {counter-reset: ulLFO6_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li:before {counter-increment: ulLFO6_1;content: counter(ulLFO6_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO6 ul ul {counter-reset: ulLFO6_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li:before {counter-increment: ulLFO6_2;content: counter(ulLFO6_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO6 ul ul ul {counter-reset: ulLFO6_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li:before {counter-increment: ulLFO6_3;content: counter(ulLFO6_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO6 ul ul ul ul {counter-reset: ulLFO6_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li:before {counter-increment: ulLFO6_4;content: counter(ulLFO6_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO6 ul ul ul ul ul {counter-reset: ulLFO6_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li ul li:before {counter-increment: ulLFO6_5;content: counter(ulLFO6_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO6 ul ul ul ul ul ul {counter-reset: ulLFO6_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO6_6;content: counter(ulLFO6_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO6 ul ul ul ul ul ul ul {counter-reset: ulLFO6_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO6_7;content: counter(ulLFO6_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO6 ul ul ul ul ul ul ul ul {counter-reset: ulLFO6_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO6_8;content: counter(ulLFO6_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO6 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO6_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO6_9;content: counter(ulLFO6_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO7 {counter-reset: ulLFO7_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 ul {counter-reset: ulLFO7_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li:before {counter-increment: ulLFO7_1;content: counter(ulLFO7_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO7 ul ul {counter-reset: ulLFO7_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li:before {counter-increment: ulLFO7_2;content: counter(ulLFO7_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO7 ul ul ul {counter-reset: ulLFO7_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li:before {counter-increment: ulLFO7_3;content: counter(ulLFO7_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO7 ul ul ul ul {counter-reset: ulLFO7_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li:before {counter-increment: ulLFO7_4;content: counter(ulLFO7_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO7 ul ul ul ul ul {counter-reset: ulLFO7_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li ul li:before {counter-increment: ulLFO7_5;content: counter(ulLFO7_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO7 ul ul ul ul ul ul {counter-reset: ulLFO7_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_6;content: counter(ulLFO7_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO7 ul ul ul ul ul ul ul {counter-reset: ulLFO7_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_7;content: counter(ulLFO7_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO7 ul ul ul ul ul ul ul ul {counter-reset: ulLFO7_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_8;content: counter(ulLFO7_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO7 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO7_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_9;content: counter(ulLFO7_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO8 {counter-reset: ulLFO8_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 ul {counter-reset: ulLFO8_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li:before {counter-increment: ulLFO8_1;content: counter(ulLFO8_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO8 ul ul {counter-reset: ulLFO8_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li:before {counter-increment: ulLFO8_2;content: counter(ulLFO8_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO8 ul ul ul {counter-reset: ulLFO8_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li:before {counter-increment: ulLFO8_3;content: counter(ulLFO8_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO8 ul ul ul ul {counter-reset: ulLFO8_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li:before {counter-increment: ulLFO8_4;content: counter(ulLFO8_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO8 ul ul ul ul ul {counter-reset: ulLFO8_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li ul li:before {counter-increment: ulLFO8_5;content: counter(ulLFO8_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO8 ul ul ul ul ul ul {counter-reset: ulLFO8_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_6;content: counter(ulLFO8_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO8 ul ul ul ul ul ul ul {counter-reset: ulLFO8_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_7;content: counter(ulLFO8_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO8 ul ul ul ul ul ul ul ul {counter-reset: ulLFO8_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_8;content: counter(ulLFO8_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO8 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO8_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_9;content: counter(ulLFO8_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO9 {counter-reset: ulLFO9_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 ul {counter-reset: ulLFO9_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li:before {counter-increment: ulLFO9_1;content: counter(ulLFO9_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO9 ul ul {counter-reset: ulLFO9_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li:before {counter-increment: ulLFO9_2;content: counter(ulLFO9_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO9 ul ul ul {counter-reset: ulLFO9_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li:before {counter-increment: ulLFO9_3;content: counter(ulLFO9_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO9 ul ul ul ul {counter-reset: ulLFO9_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li:before {counter-increment: ulLFO9_4;content: counter(ulLFO9_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO9 ul ul ul ul ul {counter-reset: ulLFO9_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li ul li:before {counter-increment: ulLFO9_5;content: counter(ulLFO9_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO9 ul ul ul ul ul ul {counter-reset: ulLFO9_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO9_6;content: counter(ulLFO9_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO9 ul ul ul ul ul ul ul {counter-reset: ulLFO9_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO9_7;content: counter(ulLFO9_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO9 ul ul ul ul ul ul ul ul {counter-reset: ulLFO9_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO9_8;content: counter(ulLFO9_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO9 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO9_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO9_9;content: counter(ulLFO9_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO10 {counter-reset: ulLFO10_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 ul {counter-reset: ulLFO10_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li:before {counter-increment: ulLFO10_1;content: counter(ulLFO10_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO10 ul ul {counter-reset: ulLFO10_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li:before {counter-increment: ulLFO10_2;content: counter(ulLFO10_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO10 ul ul ul {counter-reset: ulLFO10_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li:before {counter-increment: ulLFO10_3;content: counter(ulLFO10_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO10 ul ul ul ul {counter-reset: ulLFO10_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li:before {counter-increment: ulLFO10_4;content: counter(ulLFO10_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO10 ul ul ul ul ul {counter-reset: ulLFO10_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li ul li:before {counter-increment: ulLFO10_5;content: counter(ulLFO10_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO10 ul ul ul ul ul ul {counter-reset: ulLFO10_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO10_6;content: counter(ulLFO10_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO10 ul ul ul ul ul ul ul {counter-reset: ulLFO10_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO10_7;content: counter(ulLFO10_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO10 ul ul ul ul ul ul ul ul {counter-reset: ulLFO10_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO10_8;content: counter(ulLFO10_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO10 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO10_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO10_9;content: counter(ulLFO10_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO11 {counter-reset: ulLFO11_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 ul {counter-reset: ulLFO11_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li:before {counter-increment: ulLFO11_1;content: counter(ulLFO11_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO11 ul ul {counter-reset: ulLFO11_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li ul li:before {counter-increment: ulLFO11_2;content: counter(ulLFO11_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO11 ul ul ul {counter-reset: ulLFO11_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li ul li ul li:before {counter-increment: ulLFO11_3;content: counter(ulLFO11_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO11 ul ul ul ul {counter-reset: ulLFO11_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li ul li ul li ul li:before {counter-increment: ulLFO11_4;content: counter(ulLFO11_4, decimal)  \". \";margin-left: 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{counter-reset: ulLFO11_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO11_7;content: counter(ulLFO11_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO11 ul ul ul ul ul ul ul ul {counter-reset: ulLFO11_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a63430a130f4 ul.LFO11 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO11_8;content: counter(ulLFO11_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a63430a130f4 ul.LFO11 ul ul ul ul ul ul ul ul ul {counter-reset: 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span.doxMathFormula .MJXc-TeX-math-I {font-family: MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw}\n div#h5p_6a63430a130f4  section.h5p_page p span.doxMathFormula .MJXc-TeX-size1-R {font-family: MJXc-TeX-size1-R,MJXc-TeX-size1-Rw}\n div#h5p_6a63430a130f4  section.h5p_page p span.doxMathFormula .MJXc-TeX-size2-R {font-family: MJXc-TeX-size2-R,MJXc-TeX-size2-Rw}\n div#h5p_6a63430a130f4  section.h5p_page p span.doxMathFormula .MJXc-TeX-size3-R {font-family: MJXc-TeX-size3-R,MJXc-TeX-size3-Rw}\n div#h5p_6a63430a130f4  section.h5p_page p span.doxMathFormula .MJXc-TeX-size4-R {font-family: MJXc-TeX-size4-R,MJXc-TeX-size4-Rw}\n div#h5p_6a63430a130f4  section.h5p_page p span.doxMathFormula .mjx-sub span.mjx-char {font-size: 70.7%}\n div#h5p_6a63430a130f4  section.h5p_page p span.doxMathFormula .mjx-sup span.mjx-char {font-size: 70.7%}\n div#h5p_6a63430a130f4  section.h5p_page p span.doxMathFormula .mjx-under span.mjx-char {font-size: 70.7%}\n div#h5p_6a63430a130f4  section.h5p_page p span.doxMathFormula .mjx-over span.mjx-char {font-size: 70.7%}\n div#h5p_6a63430a130f4  section.h5p_page p span.doxMathFormula .mjx-root span.mjx-char {font-size: 70.7%;}\n div#h5p_6a63430a130f4  section.h5p_page p span.doxMathFormula .mjx-root {font-size: auto !important ; width: 0.5em !important; vertical-align: 1.2em !important}\n<\/style><script src=\"https:\/\/cdn.mathjax.org\/mathjax\/2.6-latest\/MathJax.js?config=MML_CHTML\" type=\"text\/javascript\"> <\/script>\n<div id=\"h5p_6a63430a130f4\"><section xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"section_0\" class=\"h5p_layout h5p_page h5p_page_PL0\"><div class=\"PL0\"><p class=\"P1\">&nbsp;<\/p><div style=\"left: 0;height: 750.80016pt;width: 578.90016pt;\" class=\"a14\"><div style=\"left: 0;height: 750.80016pt;position: absolute;width: 578.90016pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 10.42778in;width: 8.04028in;margin-left: 0.0125in;margin-top: 0in;\" class=\"a1\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a1\" height=\"10.42778in\" width=\"8.04028in\" viewBox=\"0 0 772 1001\"><g><path d=\"M 0 0 L 772 0 772 1001 0 1001 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 10.42778in;width: 5.88339in;margin-left: 2.16939in;margin-top: 0in;\" class=\"a2\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a2\" height=\"10.42778in\" width=\"5.88339in\" viewBox=\"0 0 565 1001\"><g><path d=\"M 0 0 L 565 0 565 1001 0 1001 Z\"\/><\/g><\/svg><p class=\"Ingenafstand\"><span class=\"T6\">Differentialregning<\/span><\/p><p class=\"P7\">&nbsp;<\/p><p class=\"P8\">&nbsp;<\/p><p class=\"P9\">&nbsp;<\/p><p class=\"P10\">&nbsp;<\/p><\/div><div style=\"left: 0;height: 453.978pt;position: absolute;width: 78.12288pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 1.08504in;margin-top: 4.19957in;\" class=\"a3\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a3\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 1.08504in;margin-top: 3.14672in;\" class=\"a4\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a4\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 0in;margin-top: 3.14672in;\" class=\"a5\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a5\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 0in;margin-top: 2.09388in;\" class=\"a6\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a6\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 0in;margin-top: 4.19957in;\" class=\"a7\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a7\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 1.08504in;margin-top: 5.25241in;\" class=\"a8\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a8\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><\/div><div style=\"position: absolute; float: none !important;height: 1.05354in;width: 1.08504in;margin-left: 1.64457in;margin-top: 0in;\" class=\"a9\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a9\" height=\"1.05354in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><p class=\"P11\">&nbsp;<\/p><\/div><\/div><div style=\"left: 0;height: 736.11216pt;position: absolute;width: 354.88296pt;\" class=\"\"><div style=\"left: 0;height: 736.11144pt;position: absolute;width: 19.53pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 0.26561in;width: 0.27125in;margin-left: 7.29592in;margin-top: 9.95816in;\" class=\"a10\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a10\" height=\"0.26561in\" width=\"0.27125in\" viewBox=\"0 0 26 25\"><g><path d=\"M 0 0 L 26 0 26 25 0 25 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 0.26561in;width: 0.27125in;margin-left: 7.29592in;margin-top: 9.69642in;\" class=\"a11\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a11\" height=\"0.26561in\" width=\"0.27125in\" viewBox=\"0 0 26 25\"><g><path d=\"M 0 0 L 26 0 26 25 0 25 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 0.26561in;width: 0.27125in;margin-left: 7.56717in;margin-top: 9.69642in;\" class=\"a12\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a12\" height=\"0.26561in\" width=\"0.27125in\" viewBox=\"0 0 26 25\"><g><path d=\"M 0 0 L 26 0 26 25 0 25 Z\"\/><\/g><\/svg><\/div><\/div><div style=\"position: absolute; float: none !important;height: 0.95896in;width: 4.92893in;margin-left: 2.17136in;margin-top: 9.26482in;\" class=\"a13\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a13\" height=\"0.95896in\" width=\"4.92893in\" viewBox=\"0 0 473 92\"><g><path d=\"M 0 0 L 473 0 473 92 0 92 Z\"\/><\/g><\/svg><p class=\"P12\"><span class=\"T13\">Frederik Hovmark Pedersen<\/span><\/p><p class=\"P14\">&nbsp;<\/p><p class=\"P15\">&nbsp;<\/p><\/div><\/div><\/div><p class=\"Normal\"\/><p class=\"P16\">&nbsp;<\/p><p class=\"Overskrift\"><span>Indholdsfortegnelse<\/span><\/p><div><p class=\"P17\"><a href=\"#_Toc418782450\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Indledning<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"P18\"><a href=\"#_Toc418782451\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Teori<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"P19\"><a href=\"#_Toc418782452\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Opgaver<\/span>&emsp;<span>8<\/span><\/a><\/p><\/div><p class=\"Normal\">&nbsp;<\/p><p class=\"P20\">&nbsp;<\/p><h1 class=\"Overskrift1\"><span id=\"_Toc418782450\"\/><span>Indledning<\/span><\/h1><p class=\"P21\"><span>Gennem denne emneopgave vil jeg<\/span>&#x200b;&#x200b;&nbsp;<span>f\u00f8rst kort gennemg\u00e5 lidt teori, som jeg s\u00e5 vil benytte til at l\u00f8se en r\u00e6kke opgaver.<\/span>&#x200b;&#x200b;&nbsp;<span>Herved vil jeg komme gennem<\/span>&#x200b;&#x200b;&nbsp;<span>emnet differentialregning, hvor jeg vil se p\u00e5 hvad det er for en st\u00f8rrelse, og hvad en tangent er samt hvordan jeg finder tangenten til en graf. Jeg vil s\u00e5 ogs\u00e5 komme omkring sekanth\u00e6ldningen og forklare hvad dette er. Her vil jeg s\u00e5 komme til at snakke om blandt delta x og tretrinsreglen.<\/span>&#x200b;&#x200b;&nbsp;<\/p><h1 class=\"Overskrift1\"><span id=\"_Toc418782451\"\/><span>Teori<\/span><\/h1><p class=\"P22\"><span>Differentialregning handler om at bestemme h\u00e6ldningskvotienten<\/span>&#x200b;&#x200b;&nbsp;<span>for<\/span>&#x200b;&#x200b;&nbsp;<span>tangenten til en funktion. Dermed kan differentialkvotienten, som beskrives som f\u2019(x), betegnes som stigningstallet for en tangent.<\/span>&#x200b;&#x200b;&nbsp;<span>I daglig tale udtales f\u2019(x) som f m\u00e6rke af x.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P23\"><span>En tangent<\/span>&#x200b;&#x200b;&nbsp;<span>er defineret <\/span>&#x200b;&#x200b;&nbsp;<span>som en ret linje, der netop r\u00f8rer(tangerer) grafen for en funktion(f(x)) i blot \u00e9t punkt. Dette punkt kaldes s\u00e5 for r\u00f8ringspunktet(x,f(x)).<\/span>&#x200b;&#x200b;&nbsp;<span>Tangenten kan blandt andet bruges til at fort\u00e6lle om grafens h\u00e6ldning er positiv eller negativ.<\/span>&#x200b;&#x200b;&nbsp;<span>Dermed kan differentialregning benyttes til en masse i praksis. For eksempel hvis man har en f(x) der beskriver salget i stk.,<\/span>&#x200b;&#x200b;&nbsp;<span>som en funktion af prisen<\/span>&#x200b;&#x200b;&nbsp;<span>x. Her kan f\u2019(x) s\u00e5 benyttes til at angive hvo meget salget \u00e6ndres, hvis der \u00e6ndres p\u00e5 prisen.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P24\"><span>Et eksempel p\u00e5 en tangent kan ses p\u00e5 billedet herunder:<\/span><\/p><p class=\"P25\"><span class=\"T26\"><span><img 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style=\"z-index: 100;width: 3.58125in;height: 2.84861in;width: 3.58125in;display: inline;\" title=\"\" alt=\"C:\\Users\\Frederik\\AppData\\Local\\Temp\\msohtmlclip1\\02\\clip_image001.png\"\/><\/span><\/span><\/p><p class=\"P27\"><span>Et andet eksempel p\u00e5 hvordan<\/span>&#x200b;&#x200b;&nbsp;<span>differentialregning<\/span>&#x200b;&#x200b;&nbsp;<span>kan benyttes i virkelighedens verden kunne v\u00e6re, at man som virksomhed sagde, at<\/span>&#x200b;&#x200b;&nbsp;<span>x var lig<\/span>&#x200b;&#x200b;&nbsp;<span>antal stk.<\/span>&#x200b;&#x200b;&nbsp;<span>og<\/span>&#x200b;&#x200b;&nbsp;<span>at<\/span>&#x200b;&#x200b;&nbsp;<span>y = f(x)<\/span>&#x200b;&#x200b;&nbsp;<span>var de<\/span>&#x200b;&#x200b;&nbsp;<span>samlede omkostninger. I s\u00e5 fald ville<\/span>&#x200b;&#x200b;&nbsp;<span>f'(x), alts\u00e5 stigningstallet for tangenten, udtrykke v\u00e6ksten i de samlede omkostninger<\/span>&#x200b;&#x200b;&nbsp;<span>n\u00e5r produktionen<\/span>&#x200b;&#x200b;&nbsp;<span>\u00e6ndres, da tangenten og grafen<\/span>&#x200b;&#x200b;&nbsp;<span>for f(x)<\/span>&#x200b;&#x200b;&nbsp;<span>s\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>stort set f\u00f8lges ad(n\u00e5r \u00e6ndring i x-v\u00e6rdi er meget lille).<\/span><\/p><p class=\"P28\"><span>Der findes en r\u00e6kke regler som kan benyttes til at differentiere forskellige<\/span>&#x200b;&#x200b;&nbsp;<span>funktioner, disse ses herunder.<\/span><\/p><ul class=\"LFO2\" style=\"counter-reset: ulLFO2_1 0;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-weight: bold;font-size: 12pt;line-height: 1.5 !important;vertical-align: middle !important;line-height: 1.15 !important;mleft: 0.375in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P29\"><span>Line\u00e6r funktion<\/span><\/p><\/li><\/ul><p class=\"P30\"><span>Her er f\u2019(x) lig stigningstallet(a).<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P31\"><span class=\"T32\">f(x) = ax + b =&gt;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T33\">f'(x) = a<\/span><span class=\"T34\">, dvs. f'(x) = stigningstallet<\/span><\/p><p class=\"P35\"><span>Et eksempel p\u00e5 dette kunne v\u00e6re:<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P36\"><span>f(x) = 2x - 3 =&gt; f'(x) = 2<\/span><\/p><p class=\"P37\"><span>\u00a0<\/span><\/p><p class=\"P38\"><span>Det vil sige at hvis f(x) er en ret linje, alts\u00e5 en konstant der st\u00e5r alene, er der ingen tangent, da denne jo i s\u00e5 fald ville komme til at ligge oven p\u00e5 grafen.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P39\"><span class=\"T40\">f(x) = k =&gt;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T41\">f'(x) = 0<\/span><\/p><p class=\"P42\"><span>For eksempel:<\/span><\/p><p class=\"P43\"><span>f(x) = 8 =&gt; f'(x) = 0<\/span><\/p><p class=\"P44\"><span>\u00a0\u00a0<\/span><\/p><ul class=\"LFO3\" style=\"counter-reset: ulLFO3_1 1;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-weight: bold;font-size: 12pt;line-height: 1.5 !important;vertical-align: middle !important;line-height: 1.15 !important;mleft: 0.375in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P45\"><span>Gradsfunktion<\/span><\/p><\/li><\/ul><p class=\"P46\"><span>Ved en andengradsfunktion ganges A<\/span>&#x200b;&#x200b;&nbsp;<span>med det tal som x er opl\u00f8ftet i,<\/span>&#x200b;&#x200b;&nbsp;<span>B kommer til at st\u00e5 alene, og C<\/span>&#x200b;&#x200b;&nbsp;<span>forsvinder.<\/span><\/p><p class=\"P47\"><span class=\"T48\">f(x) = A*x<\/span><span class=\"T49\">2<\/span><span class=\"T50\">&#x200b;&#x200b;&nbsp;+ B*x + C =&gt;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T51\">f'(x) = 2 * A * x + B<\/span><\/p><p class=\"P52\"><span>Et eksempel p\u00e5 dette kunne v\u00e6re:<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P53\"><span class=\"T54\">f(x) = -4x<\/span><span class=\"T55\">2<\/span><span class=\"T56\">&#x200b;&#x200b;&nbsp;+ 3x - 7 =&gt; f'(x) = -8x + 3<\/span><\/p><p class=\"P57\"><span>\u00a0\u00a0<\/span><\/p><ul class=\"LFO4\" style=\"counter-reset: ulLFO4_1 2;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-weight: bold;font-size: 12pt;line-height: 1.5 !important;vertical-align: middle !important;line-height: 1.15 !important;mleft: 0.375in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P58\"><span>Polynomium<\/span><\/p><\/li><\/ul><p class=\"P59\"><span>Et polynomium differentieres ved at s\u00e6tte den v\u00e6rdi som N har ned foran x, hvorefter x s\u00e5 g\u00e5r en grad ned:<\/span><\/p><p class=\"P60\"><span class=\"T61\">f(x) = x<\/span><span class=\"T62\">N<\/span><span class=\"T63\">&#x200b;&#x200b;&nbsp;=&gt;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T64\">f'(x) = N * x<\/span><span class=\"T65\">N-1<\/span><\/p><p class=\"P66\"><span>Dette ser s\u00e5ledes ud:<\/span><\/p><p class=\"P67\"><span class=\"T68\">f(x) = x<\/span><span class=\"T69\">8<\/span><span class=\"T70\">&#x200b;&#x200b;&nbsp;=&gt; f'(x) = 8 * x<\/span><span class=\"T71\">7<\/span><span class=\"T72\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P73\"><span>\u00a0\u00a0<\/span><\/p><ul class=\"LFO5\" style=\"counter-reset: ulLFO5_1 3;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-weight: bold;font-size: 12pt;line-height: 1.5 !important;vertical-align: middle !important;line-height: 1.15 !important;mleft: 0.375in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P74\"><span>Differentiation af sumfunktion og differensfunktion<\/span><\/p><\/li><\/ul><p class=\"P75\"><span>Her differentierer man blot de to funktioner hver for sig og l\u00e6gger s\u00e5 de to sammen.<\/span><\/p><p class=\"P76\"><span class=\"T77\">h(x) = f(x) +(-) g(x) =&gt;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T78\">h'(x) = f'(x) +(-) g'(x)<\/span><\/p><p class=\"P79\"><span>Et eksempel p\u00e5 dette kunne v\u00e6re:<\/span><\/p><p class=\"P80\"><span class=\"T81\">h(x) = x<\/span><span class=\"T82\">3<\/span><span class=\"T83\">&#x200b;&#x200b;&nbsp;+ 4x + 1 =&gt; h(x) = 3x<\/span><span class=\"T84\">2<\/span><span class=\"T85\">&#x200b;&#x200b;&nbsp;+ 4<\/span><\/p><p class=\"P86\"><span class=\"T87\">f(x) = x<\/span><span class=\"T88\">3<\/span><span class=\"T89\">&#x200b;&#x200b;&nbsp;og g(x) = 4x + 1<\/span><\/p><p class=\"P90\"><span>\u00a0\u00a0<\/span><\/p><ul class=\"LFO6\" style=\"counter-reset: ulLFO6_1 4;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-weight: bold;font-size: 12pt;line-height: 1.5 !important;vertical-align: middle !important;line-height: 1.15 !important;mleft: 0.375in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P91\"><span>Konstant gange en funktion<\/span><\/p><\/li><\/ul><p class=\"P92\"><span>Her differentierer man f(x), og ganger s\u00e5 konstanten med f\u2019(x).<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P93\"><span class=\"T94\">g(x) = k * f(x) =&gt;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T95\">g'(x) = k * f'(x)<\/span><\/p><p class=\"P96\"><span>Et eksempel p\u00e5 dette ses herunder:<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P97\"><span class=\"T98\">g(x)<\/span><span class=\"T99\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T100\">= 4x<\/span><span class=\"T101\">3<\/span><span class=\"T102\">&#x200b;&#x200b;&nbsp;+ 7x<\/span><span class=\"T103\">2<\/span><span class=\"T104\">&#x200b;&#x200b;&nbsp;=&gt; g'(x) = 4*3x<\/span><span class=\"T105\">2<\/span><span class=\"T106\">&#x200b;&#x200b;&nbsp;+ 7*2*x = 12x<\/span><span class=\"T107\">2<\/span><span class=\"T108\">&#x200b;&#x200b;&nbsp;+ 14x<\/span><\/p><p class=\"P109\"><span>\u00a0<\/span><\/p><ul class=\"LFO7\" style=\"counter-reset: ulLFO7_1 5;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-weight: bold;font-size: 12pt;line-height: 1.5 !important;vertical-align: middle !important;line-height: 1.15 !important;mleft: 0.375in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P110\"><span>Eksponentialfunktion<\/span><\/p><\/li><\/ul><p class=\"P111\"><span>At finde f\u2019(x) for en eksponentialfunktion er meget simpelt, dette g\u00f8res nemlig s\u00e5ledes.<\/span><\/p><p class=\"P112\"><span class=\"T113\">f(x) = e<\/span><span class=\"T114\">x<\/span><span class=\"T115\">&#x200b;&#x200b;&nbsp;=&gt;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T116\">f'(x) = e<\/span><span class=\"T117\">x<\/span><\/p><p class=\"P118\"><span>\u00a0<\/span><\/p><ul class=\"LFO8\" style=\"counter-reset: ulLFO8_1 6;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-weight: bold;font-size: 12pt;line-height: 1.5 !important;vertical-align: middle !important;line-height: 1.15 !important;mleft: 0.375in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P119\"><span>Logaritmefunktion<\/span><\/p><\/li><\/ul><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P120\"><span class=\"T121\">At differentiere en logaritmefunktion g\u00f8res ved at tage&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T122\">.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P123\"><span class=\"T124\">f(x) = ln(x) = &gt;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T125\">ln'(x) =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P126\"><span>\u00a0<\/span><\/p><p class=\"P127\">&nbsp;<\/p><p class=\"P128\">&nbsp;<\/p><ul class=\"LFO9\" style=\"counter-reset: ulLFO9_1 7;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-weight: bold;font-size: 12pt;line-height: 1.5 !important;vertical-align: middle !important;line-height: 1.15 !important;mleft: 0.375in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P129\"><span>Kvadratrodsfunktion:<\/span><\/p><\/li><\/ul><p class=\"P130\"><span>En kvadratrodsfunktion differentieres ved at 1 divideret med 2 gange kvadratroden af x, som det ogs\u00e5 fremg\u00e5r herunder.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P131\"><span class=\"T132\">f(x) =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:msqrt><mml:mi>x<\/mml:mi><\/mml:msqrt><\/mml:math><\/span><\/span><span class=\"T133\">&#x200b;&#x200b;&nbsp;=&gt;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T134\">f'(x) =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><mml:msqrt><mml:mi mathvariant=\"bold-italic\">x<\/mml:mi><\/mml:msqrt><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P135\"><span>\u00a0<\/span><\/p><ul class=\"LFO10\" style=\"counter-reset: ulLFO10_1 8;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-weight: bold;font-size: 12pt;line-height: 1.5 !important;vertical-align: middle !important;line-height: 1.15 !important;mleft: 0.375in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P136\"><span>Produktregel:<\/span><\/p><\/li><\/ul><p class=\"P137\"><span>Her differentieres f(x), hvorefter f\u2019(x) ganges med g(x), hvorefter g(x) differentieres, g\u2019(x) ganges s\u00e5 sammen med f(x), og de to ting l\u00e6gges s\u00e5 sammen.<\/span><\/p><p class=\"P138\"><span class=\"T139\">h(x) = f(x) * g(x) =&gt;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T140\">h'(x) = f'(x) * g(x) + f(x) * g'(x)&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P141\"><span>Et<\/span>&#x200b;&#x200b;&nbsp;<span>eksempel p\u00e5 dette ses herunder:<\/span><\/p><p class=\"P142\"><span class=\"T143\">h(x) = ln(x) * (4x<\/span><span class=\"T144\">2<\/span><span class=\"T145\">&#x200b;&#x200b;&nbsp;+ 4x + 3)<\/span><\/p><p class=\"P146\"><span>f(x) = ln(x)<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P147\"><span class=\"T148\">f'(x) =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P149\"><span class=\"T150\">g(x) = (4x<\/span><span class=\"T151\">2<\/span><span class=\"T152\">&#x200b;&#x200b;&nbsp;+ 4x + 3)<\/span><\/p><p class=\"P153\"><span>g(x) = 8x + 4<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P154\"><span class=\"T155\">h'(x) =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T156\">&#x200b;&#x200b;&nbsp;* (4x<\/span><span class=\"T157\">2<\/span><span class=\"T158\">&#x200b;&#x200b;&nbsp;+ 4x + 3) + ln(x) * &#x200b;&#x200b;&nbsp;(8x + 4)<\/span><\/p><p class=\"P159\"><span>\u00a0<\/span><\/p><ul class=\"LFO11\" style=\"counter-reset: ulLFO11_1 9;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-weight: bold;font-size: 12pt;line-height: 1.5 !important;vertical-align: middle !important;line-height: 1.15 !important;mleft: 0.375in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P160\"><span>Sammensat funktion:<\/span><\/p><\/li><\/ul><p class=\"P161\"><span>Ved en sammensat funktion, differentieres f(g(x)) hvorefter g(x) differentieres, og de to ganges s\u00e5 med<\/span>&#x200b;&#x200b;&nbsp;<span>hinanden, som det ses herunder:<\/span><\/p><p class=\"P162\"><span class=\"T163\">h(x) = f(g(x)) =&gt;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T164\">h'(x) = f'(g(x)) * g'(x)<\/span><\/p><p class=\"P165\">&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P166\"><span class=\"T167\">Men st\u00e5r man s\u00e5 i den situation, at man skal bestemme tangentens h\u00e6ldning, og man blot kender det punkt som den sk\u00e6rer en graf i, s\u00e5 har man jo et problem, da der til formlen der bruges til at finde stigningstallet for en ret linje,&#x200b;&#x200b;&nbsp;<\/span><span class=\"T168\">a =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>y<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msub><mml:mo>-<\/mml:mo><mml:msub><mml:mrow><mml:mi>y<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msub><mml:mo>-<\/mml:mo><mml:msub><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T169\">,&#x200b;&#x200b;&nbsp;<\/span><span class=\"T170\">jo skal bruges to punkter. Her kommer sekanten s\u00e5 ind i billedet. En sekant er en linje der sk\u00e6rer en parabel i to punkter. Denne kan man s\u00e5 beregne stigningstallet for, hvorefter man kan lade den g\u00e5 mod tangenten.<\/span><\/p><p class=\"P171\"><span class=\"T172\">Jeg vil nu komme med den matematiske definition af differentialkvotienten. Til dette vil jeg komme til at benytte&#x200b;&#x200b;&nbsp;<\/span><span class=\"T173\">\u0394<\/span><span class=\"T174\">x<\/span><span class=\"T175\">&#x200b;&#x200b;&nbsp;som er&#x200b;&#x200b;&nbsp;<\/span><span class=\"T176\">\u00e6ndringen i x-v\u00e6rdien<\/span><span class=\"T177\">. Det udtales delta x, og kommer at det gr\u00e6ske bogstav delta(<\/span><span class=\"T178\">\u0394<\/span><span class=\"T179\">).<\/span><\/p><p class=\"P180\"><span class=\"T181\"><svg height=\"236\" width=\"225.40032\" style=\"overflow: visible;\" class=\"a23\"><line x1=\"45.40032\" x2=\"225.40032\" y1=\"231\" y2=\"81\" style=\"\" class=\"a23\"\/><\/svg><\/span><span class=\"T182\"><span><img 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\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\" style=\"z-index: 100;width: 2.79454in;height: 2.46875in;width: 2.79454in;display: inline;\" title=\"\" alt=\"http:\/\/eg10y-video-math.wikispaces.com\/file\/view\/Figur_II.4.1.png\/297035554\/386x341\/Figur_II.4.1.png\"\/><\/span><\/span><\/p><p class=\"P183\"><span>Stigningstal for sekant:<\/span><\/p><p class=\"P184\"><span>Her ses det at vi har de to punkter (f(x+\u0394x),x+\u0394x) og (f(x),x), disse s\u00e6ttes <\/span>&#x200b;&#x200b;&nbsp;<span>s\u00e5 ind i formlen for a:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P185\"><span class=\"T186\">a =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>y<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msub><mml:mo>-<\/mml:mo><mml:msub><mml:mrow><mml:mi>y<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msub><mml:mo>-<\/mml:mo><mml:msub><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T187\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>f<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T188\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P189\"><span class=\"T190\">Jeg kan s\u00e5 lade x og -x g\u00e5 ud med hinanden s\u00e5 det I stedet hedder: a =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T191\">&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>f<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T192\">.<\/span><span class=\"T193\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P194\"><span class=\"T195\">Jeg<\/span><span class=\"T196\">&#x200b;&#x200b;&nbsp;lader nu&#x200b;&#x200b;&nbsp;<\/span><span class=\"T197\">\u0394<\/span><span class=\"T198\">x n\u00e6rme sig 0, alts\u00e5 de to punkter(x og x+<\/span><span class=\"T199\">\u0394<\/span><span class=\"T200\">x) rykker t\u00e6ttere p\u00e5 hinanden<\/span><span class=\"T201\">.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P202\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>f<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T203\">&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;---&gt; stigningstal for tangent<\/span><\/p><p class=\"P204\"><span>Definitionen p\u00e5 dette bliver s\u00e5:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P205\"><span class=\"T206\">f'(x) = gr\u00e6nsev\u00e6rdi for &#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>f<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T207\">&#x200b;&#x200b;&nbsp;n\u00e5r&#x200b;&#x200b;&nbsp;<\/span><span class=\"T208\">\u0394<\/span><span class=\"T209\">x -&gt; 0<\/span><\/p><p class=\"P210\"><span class=\"T211\">Jeg kan s\u00e5 ud fra dette&#x200b;&#x200b;&nbsp;<\/span><span class=\"T212\">komme med beviset for at differentialkvotienten<\/span><span class=\"T213\">&#x200b;&#x200b;&nbsp;for x<\/span><span class=\"T214\">2<\/span><span class=\"T215\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T216\">er 2x(<\/span><span class=\"T217\">f(x) = x<\/span><span class=\"T218\">2<\/span><span class=\"T219\">&#x200b;&#x200b;&nbsp;=&gt; f'(x) = 2x)<\/span><span class=\"T220\">. Til dette vil jeg benytte en tretrinsregel, som jeg ogs\u00e5 vil komme til at benytte i opgaverne fra opgaves\u00e6ttet til denne emneopgave.<\/span><\/p><p class=\"P221\"><span>Trin 1 er at jeg finder sekanth\u00e6ldningen.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P222\"><span class=\"T223\">a =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">y<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msub><mml:mo>-<\/mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">y<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msub><mml:mo>-<\/mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T224\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T225\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T226\">.<\/span><span class=\"T227\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P228\"><span>Trin 2 er s\u00e5 at jeg<\/span>&#x200b;&#x200b;&nbsp;<span>nu kan reducere.<\/span><\/p><div xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"dxoResponsiveTable\"><table xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Table229\"><colgroup><col class=\" TableColumn230\" data-colwidth=\"2.2263\" data-colwidthunits=\"in\"\/><col class=\" TableColumn231\" data-colwidth=\"4.2444\" data-colwidthunits=\"in\"\/><\/colgroup><tr class=\"TableRow232\"><td class=\"TableCell233\"><p class=\"P234\"><span class=\"T235\">a =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><\/td><td class=\"TableCell236\"><p class=\"P237\"><span>Jeg har det jeg skal have reduceret.<\/span><\/p><\/td><\/tr><tr class=\"TableRow238\"><td class=\"TableCell239\"><p class=\"P240\"><span class=\"T241\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T242\">&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell243\"><p class=\"P244\"><span class=\"T245\">Her ses det at x og -x g\u00e5r ud med hinanden, mens (x+<\/span><span class=\"T246\">\u0394<\/span><span class=\"T247\">x)<\/span><span class=\"T248\">2<\/span><span class=\"T249\">&#x200b;&#x200b;&nbsp;er blevet til (x+<\/span><span class=\"T250\">\u0394<\/span><span class=\"T251\">x)*(<\/span><span class=\"T252\">\u0394<\/span><span class=\"T253\">x+x).<\/span><\/p><\/td><\/tr><tr class=\"TableRow254\"><td class=\"TableCell255\"><p class=\"P256\"><span class=\"T257\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>)<\/mml:mo><mml:mo>+<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T258\">&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell259\"><p class=\"P260\"><span>Her er de to parenteser ganget med hinanden.<\/span><\/p><\/td><\/tr><tr class=\"TableRow261\"><td class=\"TableCell262\"><p class=\"P263\"><span class=\"T264\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mo>(<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><mml:mo>+<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T265\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell266\"><p class=\"P267\"><span class=\"T268\">Her er (x*<\/span><span class=\"T269\">\u0394<\/span><span class=\"T270\">x) og (<\/span><span class=\"T271\">\u0394<\/span><span class=\"T272\">x*x) lagt sammen, mens x<\/span><span class=\"T273\">2<\/span><span class=\"T274\">&#x200b;&#x200b;&nbsp;og -x<\/span><span class=\"T275\">2<\/span><span class=\"T276\">&#x200b;&#x200b;&nbsp;er g\u00e5et ud med hinanden.<\/span><\/p><\/td><\/tr><tr class=\"TableRow277\"><td class=\"TableCell278\"><p class=\"P279\"><span class=\"T280\">= &#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mo>(<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow\/><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T281\">&#x200b;&#x200b;&nbsp;= 2x +&#x200b;&#x200b;&nbsp;<\/span><span class=\"T282\">\u0394<\/span><span class=\"T283\">x&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell284\"><p class=\"P285\"><span class=\"T286\">Her er der divideret med&#x200b;&#x200b;&nbsp;<\/span><span class=\"T287\">\u0394<\/span><span class=\"T288\">x, s\u00e5ledes at vi nu ikke kan reducere yderligere.<\/span><\/p><\/td><\/tr><\/table><\/div><p class=\"P289\">&nbsp;<\/p><p class=\"P290\"><span class=\"T291\">Trin 3 er s\u00e5, at jeg vil lade \u0394x n\u00e6rme sig 0(<\/span><span class=\"T292\">\u0394<\/span><span class=\"T293\">x -&gt; 0<\/span><span class=\"T294\">). Dermed rykkes sekanth\u00e6ldningen t\u00e6ttere p\u00e5 tangenth\u00e6ldningen<\/span><span class=\"T295\">.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T296\">Alts\u00e5&#x200b;&#x200b;&nbsp;<\/span><span class=\"T297\">bliver sekanth\u00e6ldningen:<\/span><span class=\"T298\">&#x200b;&#x200b;&nbsp;a = 2x +&#x200b;&#x200b;&nbsp;<\/span><span class=\"T299\">\u0394<\/span><span class=\"T300\">x -&gt; 2x<\/span><span class=\"T301\">. Lader man s\u00e5 fx \u0394x v\u00e6re 0,001, s\u00e5 bliver sekanth\u00e6ldningen 2x + 0,001, hvilket jo er meget t\u00e6t p\u00e5 tangenth\u00e6ldningen som var 2x.<\/span><\/p><p class=\"P302\"><span class=\"T303\">Konklusion<\/span><span class=\"T304\">en p\u00e5 dette bliver at<\/span><span class=\"T305\">: f'(x) = 2x<\/span><span class=\"T306\">, da jeg<\/span><span class=\"T307\">&#x200b;&#x200b;&nbsp;har defineret f'(x) som gr\u00e6<\/span><span class=\"T308\">nsev\u00e6rdien for sekanth\u00e6ldningen<\/span><span class=\"T309\">&#x200b;&#x200b;&nbsp;n\u00e5r deltax g\u00e5r mod nul(<\/span><span class=\"T310\">\u0394<\/span><span class=\"T311\">x -&gt; 0)<\/span><span class=\"T312\">.<\/span><span class=\"T313\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P314\"><span>Som et \u201dpraktisk\u201d<\/span>&#x200b;&#x200b;&nbsp;<span>eksempel p\u00e5 dette vil jeg benytte de opgaver der er udleveret i forbindelse med denne emneopgave. Og jeg vil s\u00e5 til disse blandt andet benytte tretrinsreglen.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P315\">&nbsp;<\/p><p class=\"P316\">&nbsp;<\/p><p class=\"P317\"><span>\u00a0<\/span><\/p><p class=\"P318\">&nbsp;<\/p><h1 class=\"Overskrift1\"><span id=\"_Toc418782452\"\/><span>Opgaver<\/span><\/h1><p class=\"P319\"><span>F\u00f8rst skal du differentiere m.m. med udgangspunkt i differentiationsreglerne:<\/span><\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 0;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-weight: bold;font-style: italic;font-size: 12pt;line-height: 1.5 !important;mleft: 0.5in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P320\"><span>Tegn grafen for funktionen f(x) = 3x\u00b2 - 2x + 1 ( brug evt. Maple ).<\/span><\/p><\/li><\/ul><p class=\"P321\"><span>Her benytter jeg Maple. Jeg skriver s\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>nedenst\u00e5ende, h\u00f8jreklikker p\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>skriften med bl\u00e5, og kan derefter v\u00e6lge at f\u00e5 vist et 2D plot af grafen, som ogs\u00e5 ses herunder.<\/span><\/p><p class=\"Listeafsnit\"><span class=\"T322\"><span><img 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\" style=\"z-index: 100;width: 6.69306in;height: 4.02986in;width: 6.69306in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P323\">&nbsp;<\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 1;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-weight: bold;font-style: italic;font-size: 12pt;line-height: 1.5 !important;mleft: 0.5in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P324\"><span>Bestem f\u00b4(x) og forklar hvilke differentiationsregler du har brugt.<\/span><\/p><\/li><\/ul><p class=\"P325\"><span class=\"T326\">f\u2019(x) findes ved at jeg tager det tal som x er opl\u00f8ftet i og ganger med det tal som &#x200b;&#x200b;&nbsp;st\u00e5r foran x. Herefter g\u00e5r x s\u00e5 en grad ned. Et eksempel p\u00e5 dette kunne v\u00e6re&#x200b;&#x200b;&nbsp;<\/span><span class=\"T327\">f(x) =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T328\">4x<\/span><span class=\"T329\">3<\/span><span class=\"T330\">. Dette bliver&#x200b;&#x200b;&nbsp;<\/span><span class=\"T331\">ved differentiation&#x200b;&#x200b;&nbsp;<\/span><span class=\"T332\">til&#x200b;&#x200b;&nbsp;<\/span><span class=\"T333\">f\u2019(x) =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T334\">3*4x<\/span><span class=\"T335\">3-1<\/span><span class=\"T336\">&#x200b;&#x200b;&nbsp;alts\u00e5&#x200b;&#x200b;&nbsp;<\/span><span class=\"T337\">f\u2019(x) =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T338\">12x<\/span><span class=\"T339\">2<\/span><span class=\"T340\">.<\/span><span class=\"T341\">&#x200b;&#x200b;&nbsp;Har man s\u00e5 blot f(x) = 3x<\/span><span class=\"T342\">, s\u00e5 bliver dette til f\u2019(x) = 3. Og har man blot f(x) = 2, s\u00e5 bliver dette til f\u2019(x) = 0.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P343\"><span class=\"T344\">Dermed kan en funktion<\/span><span class=\"T345\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T346\">fx&#x200b;&#x200b;&nbsp;<\/span><span class=\"T347\">hedde f(x) = 3x<\/span><span class=\"T348\">5<\/span><span class=\"T349\">&#x200b;&#x200b;&nbsp;+ 3x<\/span><span class=\"T350\">3<\/span><span class=\"T351\">&#x200b;&#x200b;&nbsp;- 2x + 5. Ved differ<\/span><span class=\"T352\">entiation bliver f m\u00e6rke af x s\u00e5 f\u2019(x) = 15x<\/span><span class=\"T353\">4<\/span><span class=\"T354\">&#x200b;&#x200b;&nbsp;+ 9x<\/span><span class=\"T355\">2<\/span><span class=\"T356\">&#x200b;&#x200b;&nbsp;- 2.<\/span><\/p><p class=\"P357\">&#x200b;&#x200b;&nbsp;<\/p><p class=\"P358\"><span>I opgaven der er givet til denne emneopgave skal jeg s\u00e5 differentiere<\/span>&#x200b;&#x200b;&nbsp;<span>f(x) = 3x\u00b2 - 2x + 1.<\/span>&#x200b;&#x200b;&nbsp;<span>Dette bliver s\u00e5 til:<\/span><\/p><p class=\"P359\"><span class=\"T360\">f\u2019(x) =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T361\">2*3<\/span><span class=\"T362\">x - 2<\/span><span class=\"T363\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T364\">6x - 2<\/span><\/p><p class=\"P365\">&nbsp;<\/p><p class=\"P366\"><span>Jeg kan ligeledes benytte Maple til at differentiere, dette g\u00f8res<\/span>&#x200b;&#x200b;&nbsp;<span>meget simpelt<\/span>&#x200b;&#x200b;&nbsp;<span>ved at g\u00f8re som herunder.<\/span><\/p><p class=\"Listeafsnit\"><span class=\"T367\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 5.96958in;height: 0.42714in;width: 5.96958in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P368\">&nbsp;<\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 2;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-weight: bold;font-style: italic;font-size: 12pt;line-height: 1.5 !important;mleft: 0.5in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P369\"><span>Beregn f\u00b4(1) og forklar hvad denne st\u00f8rrelse viser.<\/span><\/p><\/li><\/ul><p class=\"P370\"><span>f\u2019(1) findes ved at s\u00e6tte 1 ind p\u00e5 x plads s\u00e5ledes:<\/span><\/p><p class=\"Listeafsnit\"><span class=\"T371\">f\u2019(1) = 6*1 - 2 =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T372\">4<\/span><span class=\"T373\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P374\"><span>Dette er s\u00e5 h\u00e6ldningen n\u00e5r x-v\u00e6rdien er 1.<\/span><\/p><p class=\"P375\">&nbsp;<\/p><p class=\"P376\"><span>Maple<\/span>&#x200b;&#x200b;&nbsp;<span>kan naturligvis ligeledes beregne f\u2019(1) for mig,<\/span>&#x200b;&#x200b;&nbsp;<span>hvilket jeg har gjort herunder.<\/span><\/p><p class=\"Listeafsnit\"><span class=\"T377\"><span><img src=\"data:image\/tmp;base64,iVBORw0KGgoAAAANSUhEUgAAAiwAAAAoCAYAAADdeaHWAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKjSURBVHhe7d2vTiNBHMDxfQAkueeoXc8DIBAIJGkQSCQOfWsRSJ7hahA8AAJJrgaBQCAQCATidzvL9K70dvsnucBc8vkkTfgtrf9mOjOtAgCgcIIFACieYAEAiidYAIDiCRYAoHiCBQAo3upgmTZRV1VUVR3NND9rvby8xNHRUby+vuYnq52cnMTDw0OeAADWszxYulgZx4\/JOKpvVYy+\/8z\/iDg8PIzb29s8zek+8zFuZh4fH2N3dzfe3t7yEwCA1ZYGy2RcxXjS\/RFV3cSsQVKoHBwc5GlOel\/Pasy809PTuLy8zBMAwGrDwdLFxzhSr3SrJl25vDs+Po7z8\/M8LZrEeEmwXF9fx87OTp4AAFbrDZa0svK+UtK+6iZ+tsEyniuQ0WgUV1dXeVq0PFienp5ia2srTwAAqw2usKRoqQeqY3t7O+7u7vK0aHmwJCmEnp+f8wQAsNxAsEyjqfP+lR4pOO7v7\/O0aL1gGf48AMBH\/cGSTwcN9IpgAQA+VW+wTJv6w6mgRb4SAgA+0+Cm26H9K0nadJtO+\/Sz6RYA+Ld6gmX1Ckk61nxxcZGnOd1XSX9OGPXtgXGsGQDY1N\/Bku5fGdptm6WL4\/b29vK0mbOzMxfHAQAbeQ+W35tsV6+uzKSr+W9ubvK0nvT7Q\/v7+67mBwA2kldYUqikr3HWi5UkxUeKlk1+\/DBdy+90EACwqd5NtwAAJREsAEDxBAsAUDzBAgAUT7AAAMUTLABA8QQLAFCEpo7eW\/ITwQIAfLlp00ZJWyWCBQAo07QNlTZYrLAAAMVqxl2zCBYAoEyTNlZmPwskWACA8rRxMh8oggUAKE5aXUkbbRdfdZPfMKd9DADw9aywAADFEywAQPEECwDwXxMsAEDxBAsAUDzBAgAULuIXBO9PJX+m2xEAAAAASUVORK5CYII=\" style=\"z-index: 100;width: 5.79248in;height: 0.41672in;width: 5.79248in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P378\">&nbsp;<\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 3;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-weight: bold;font-style: italic;font-size: 12pt;line-height: 1.5 !important;mleft: 0.5in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P379\"><span>Bestem dern\u00e6st tangentligningen i punktet (1, f(1)) og indtegn denne<\/span><br\/><span>tangent i samme koordinatsystem som funktionen f.<\/span><\/p><\/li><\/ul><p class=\"P380\"><span class=\"T381\">Her benytter jeg&#x200b;&#x200b;&nbsp;<\/span><span class=\"T382\">Maple<\/span><span class=\"T383\">, hvor jeg starter med at finde r\u00f8ringspunktet. N\u00e5r jeg har fundet dette, finder jeg stigningstallet(a). P\u00e5 baggrund af disse to tal kan jeg s\u00e5 finde sk\u00e6ringen med y-aksen(b). Dermed har jeg nu fundet a og b, og kan alts\u00e5 lave funktionen for tangenten. Dette ses herunder.<\/span><\/p><div data-anchor-type=\"paragraph\" class=\"a41\" style=\"z-index: 100;height: 2.78889in;width: 5.61597in;\"><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 5.61597in;height: 2.78889in;width: 5.61597in;\" title=\"\" alt=\"\"\/><\/div><p class=\"Listeafsnit\"\/><p class=\"P385\"><span>Efterf\u00f8lgende kan jeg s\u00e5 lave en graf for tangenten<\/span>&#x200b;&#x200b;&nbsp;<span>ved at 2D plotte y = 4x - 2.<\/span><\/p><p class=\"Listeafsnit\"><span class=\"T386\"><span><img 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\" style=\"z-index: 100;width: 3.94447in;height: 4.05029in;width: 3.94447in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P387\"><span>Denne kan jeg s\u00e5 kopiere og s\u00e6tte ind i<\/span>&#x200b;&#x200b;&nbsp;<span>grafen jeg fandt i sp\u00f8rgsm\u00e5l 1, s\u00e5 det ser ud som herunder.<\/span><\/p><p class=\"Listeafsnit\"><span class=\"T388\"><span><img 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\" style=\"z-index: 100;width: 4.09977in;height: 4.01315in;width: 4.09977in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P389\"><span class=\"T390\">Du skal nu pr\u00f8ve at bestemme f\u00b4(x)<\/span><span class=\"T391\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T392\">uden<\/span><span class=\"T393\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T394\">at bruge de s\u00e6dvanlige differen<\/span><span class=\"T395\">tiationsregler dvs. du skal tage ud<\/span><span class=\"T396\">gangspunkt i sekanth\u00e6ldningen (<\/span><span class=\"T397\">se evt. E1 side&#x200b;&#x200b;&nbsp;<\/span><span class=\"T398\">80 i din udm\u00e6rkede matematikbog<\/span><span class=\"T399\">):<\/span><\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 4;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-weight: bold;font-style: italic;font-size: 12pt;line-height: 1.5 !important;mleft: 0.5in !important;line-height: 1.15 !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P400\"><span>Hvad bliver sekanth\u00e6ldningen hvis sekanten g\u00e5r gennem to vilk\u00e5rlige punkter<\/span>&#x200b;&#x200b;&nbsp;<span>(x,f(x)) og (x+\u2206x,f(x+\u2206x)) ? <\/span>&#x200b;&#x200b;&nbsp;<span>( hvor f(x) =3x\u00b2 - 2x + 1 )<\/span><\/p><\/li><\/ul><p class=\"P401\"><span class=\"T402\">Jeg har de to punkter som sekanten g\u00e5r gennem:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T403\">(x,f(x)) og (x+\u0394x,f(x+\u0394x))<\/span><span class=\"T404\">.<\/span><\/p><p class=\"P405\"><span>Det f\u00f8rste trin er s\u00e5 at jeg skal s\u00e6tte<\/span>&#x200b;&#x200b;&nbsp;<span>de to punkter ind i formlen for a:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P406\"><span class=\"T407\">a =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">y<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msub><mml:mo>-<\/mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">y<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msub><mml:mo>-<\/mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T408\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P409\"><span class=\"T410\">Og da f(x) = 3x<\/span><span class=\"T411\">2<\/span><span class=\"T412\">&#x200b;&#x200b;&nbsp;- 2x + 1 bliver det:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P413\"><span class=\"T414\">a =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mo>(<\/mml:mo><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi>\u0394<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mo>(<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>)<\/mml:mo><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>)<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T415\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P416\"><span>Nu kan jeg s\u00e5 g\u00e5 til trin 2<\/span>&#x200b;&#x200b;&nbsp;<span>og begynde at reducere, hvilket jeg har gjort herunder:<\/span>&#x200b;&#x200b;&nbsp;<\/p><div xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"dxoResponsiveTable\"><table xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Table417\"><colgroup><col class=\" TableColumn418\" data-colwidth=\"2.7215\" data-colwidthunits=\"in\"\/><col class=\" TableColumn419\" data-colwidth=\"3.7493\" data-colwidthunits=\"in\"\/><\/colgroup><tr class=\"TableRow420\"><td class=\"TableCell421\"><p class=\"P422\"><span class=\"T423\">a =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mo>(<\/mml:mo><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi>\u0394<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mo>(<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>)<\/mml:mo><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>)<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T424\">&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell425\"><p class=\"P426\"><span>Resultatet jeg fandt frem til f\u00f8r.<\/span><\/p><\/td><\/tr><tr class=\"TableRow427\"><td class=\"TableCell428\"><p class=\"P429\"><span class=\"T430\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T431\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell432\"><p class=\"P433\"><span class=\"T434\">Her har ganget -2 ind i parentesen, oph\u00e6vet minusparentes, og&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi>\u0394<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:math><\/span><\/span><span class=\"T435\">&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;er blevet til&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:math><\/span><\/span><span class=\"T436\">.<\/span><\/p><\/td><\/tr><tr class=\"TableRow437\"><td class=\"TableCell438\"><p class=\"P439\"><span class=\"T440\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T441\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell442\"><p class=\"P443\"><span>1 og -1 g\u00e5r ud med hinanden, ligesom 2x og -2x ogs\u00e5 g\u00f8r det.<\/span><\/p><\/td><\/tr><tr class=\"TableRow444\"><td class=\"TableCell445\"><p class=\"P446\"><span class=\"T447\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mo>(<\/mml:mo><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T448\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell449\"><p class=\"P450\"><span>Parenteserne er her ganget med hinanden.<\/span><\/p><\/td><\/tr><tr class=\"TableRow451\"><td class=\"TableCell452\"><p class=\"P453\"><span class=\"T454\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T455\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell456\"><p class=\"P457\"><span>Jeg har her ganget 3 ind i parentesen.<\/span><\/p><\/td><\/tr><tr class=\"TableRow458\"><td class=\"TableCell459\"><p class=\"P460\"><span class=\"T461\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mn>6<\/mml:mn><mml:mi>x<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>\u0394<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mo>(<\/mml:mo><mml:mi>\u0394<\/mml:mi><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>3<\/mml:mn><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T462\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell463\"><p class=\"P464\"><span>3x*\u0394x og 3\u0394x*x bliver til 6x*\u0394x.<\/span><\/p><\/td><\/tr><tr class=\"TableRow465\"><td class=\"TableCell466\"><p class=\"P467\"><span class=\"T468\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>6<\/mml:mn><mml:mi>x<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>\u0394<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mo>(<\/mml:mo><mml:mi>\u0394<\/mml:mi><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T469\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell470\"><p class=\"P471\"><span class=\"T472\">3x<\/span><span class=\"T473\">2<\/span><span class=\"T474\">&#x200b;&#x200b;&nbsp;og -3x<\/span><span class=\"T475\">2<\/span><span class=\"T476\">&#x200b;&#x200b;&nbsp;g\u00e5r ud med hinanden<\/span><span class=\"T477\">.<\/span><\/p><\/td><\/tr><tr class=\"TableRow478\"><td class=\"TableCell479\"><p class=\"P480\"><span class=\"T481\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>6<\/mml:mn><mml:mi>x<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>\u0394<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>\u0394<\/mml:mi><mml:mi>x<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>\u0394<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mo>\u2206<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T482\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell483\"><p class=\"P484\"><span class=\"T485\">\u00a0<\/span><span class=\"T486\">3(\u0394x)<\/span><span class=\"T487\">2<\/span><span class=\"T488\">&#x200b;&#x200b;&nbsp;oph\u00e6ves og bliver til 3*\u0394x*\u0394x.<\/span><\/p><\/td><\/tr><tr class=\"TableRow489\"><td class=\"TableCell490\"><p class=\"P491\"><span class=\"T492\">= 6x+3<\/span><span class=\"T493\">\u0394<\/span><span class=\"T494\">x-2 &nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/td><td class=\"TableCell495\"><p class=\"P496\"><span class=\"T497\">Der&#x200b;&#x200b;&nbsp;<\/span><span class=\"T498\">dividere<\/span><span class=\"T499\">s<\/span><span class=\"T500\">&#x200b;&#x200b;&nbsp;med&#x200b;&#x200b;&nbsp;<\/span><span class=\"T501\">\u0394<\/span><span class=\"T502\">x&#x200b;&#x200b;&nbsp;<\/span><span class=\"T503\">og vi f\u00e5r resultatet.<\/span><\/p><\/td><\/tr><\/table><\/div><p class=\"P504\">&nbsp;<\/p><p class=\"P505\"><span>Og<\/span>&#x200b;&#x200b;&nbsp;<span>da resultatet jo gerne skal<\/span>&#x200b;&#x200b;&nbsp;<span>ligne<\/span>&#x200b;&#x200b;&nbsp;<span>tangenth\u00e6ldningen(f\u2019(x) = 6x-2),<\/span>&#x200b;&#x200b;&nbsp;<span>s\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>ser<\/span>&#x200b;&#x200b;&nbsp;<span>det<\/span>&#x200b;&#x200b;&nbsp;<span>jo meget godt ud.<\/span><\/p><p class=\"P506\"><span>Det tredje trin, som er at lade \u0394x g\u00e5 mod<\/span>&#x200b;&#x200b;&nbsp;<span>nul, vil jeg gennemg\u00e5 de kommende opgaver.<\/span><\/p><p class=\"P507\">&nbsp;<\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 5;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-weight: bold;font-style: italic;font-size: 12pt;line-height: 1.5 !important;mleft: 0.5in !important;line-height: 1.15 !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P508\"><span>Hvad bliver sekanth\u00e6ldningen hvis \u2206x=1 ? \u2206x=0,5 ? \u2206x=0,1 ? \u2206x= 0,01 ? \u2206x= 0,001 ?<\/span><\/p><\/li><\/ul><p class=\"P509\"><span>Her benytter jeg s\u00e5 a som jeg fandt ovenfor:<\/span><\/p><p class=\"P510\"><span class=\"T511\">a&#x200b;&#x200b;&nbsp;<\/span><span class=\"T512\">= 6x+3<\/span><span class=\"T513\">\u0394<\/span><span class=\"T514\">x-2&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P515\"><span>Jeg kan nu s\u00e6tte henholdsvis 1, 0,5, 0,1 og s\u00e5 videre ind p\u00e5 \u0394x plads. Alts\u00e5 jeg lader \u0394x blive<\/span>&#x200b;&#x200b;&nbsp;<span>mindre og mindre:<\/span><\/p><p class=\"P516\"><span class=\"T517\">\u2206x=1:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T518\">6x+3*1-2 =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T519\">6x + 1<\/span><\/p><p class=\"P520\"><span class=\"T521\">\u2206x=0,5<\/span><span class=\"T522\">:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T523\">6x+3*0,5-2 =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T524\">6x - 0,5<\/span><span class=\"T525\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P526\"><span class=\"T527\">\u2206x=0,1<\/span><span class=\"T528\">:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T529\">6x+3*0,1-2 =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T530\">6x - 1,7<\/span><span class=\"T531\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P532\"><span class=\"T533\">\u2206x= 0,01<\/span><span class=\"T534\">:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T535\">6x+3*0,01-2 =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T536\">6x - 1,97<\/span><span class=\"T537\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P538\"><span class=\"T539\">\u2206x= 0,001<\/span><span class=\"T540\">:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T541\">6x+3*0,001-2 =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T542\">6x - 1,997<\/span><span class=\"T543\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P544\"><span>Som det ses s\u00e5 ender sekanth\u00e6ldningen(6x-1,997) med at v\u00e6re t\u00e6t p\u00e5 tangenth\u00e6ldningen(6x-2).<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P545\">&nbsp;<\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 6;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-weight: bold;font-style: italic;font-size: 12pt;line-height: 1.5 !important;mleft: 0.5in !important;line-height: 1.15 !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P546\"><span>Lad nu \u2206x\u21920 ( svarende til at de to punkter n\u00e6rmer sig hinanden ). Hvad sker der nu med sekanth\u00e6ldningen? Er<\/span>&#x200b;&#x200b;&nbsp;<span>det tangenth\u00e6ldningen vi finder? Er det f\u00b4(x) vi finder? Forklar!!<\/span><\/p><\/li><\/ul><p class=\"P547\"><span class=\"T548\">At jeg lader \u0394x n\u00e6rme sig nul(<\/span><span class=\"T549\">\u0394<\/span><span class=\"T550\">x -&gt; 0<\/span><span class=\"T551\">) betyder<\/span><span class=\"T552\">,<\/span><span class=\"T553\">&#x200b;&#x200b;&nbsp;at jeg lader sekanth\u00e6ldningen n\u00e6rme sig tangenth\u00e6ldningen, s\u00e5ledes at sekanth\u00e6ldningen&#x200b;&#x200b;&nbsp;<\/span><span class=\"T554\">kommer til at ligne tangenth\u00e6ld<\/span><span class=\"T555\">ningen.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T556\">Og d<\/span><span class=\"T557\">et er jo s\u00e5dan set det jeg har gjort i ovenst\u00e5ende sp\u00f8rgsm\u00e5l. Men den kan jo naturligvis n\u00e6rme sig endnu mere. Jeg kunne fx lade \u0394x v\u00e6re 0,0001, som herunder.<\/span><\/p><p class=\"P558\"><span class=\"T559\">\u2206x= 0,00<\/span><span class=\"T560\">0<\/span><span class=\"T561\">1<\/span><span class=\"T562\">:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T563\">6x+3*0,0<\/span><span class=\"T564\">0<\/span><span class=\"T565\">01-2 =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T566\">6x - 1,99<\/span><span class=\"T567\">9<\/span><span class=\"T568\">7<\/span><span class=\"T569\">.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P570\"><span class=\"T571\">Og her er sekanth\u00e6ldningen jo s\u00e5 meget t\u00e6t p\u00e5 tangenth\u00e6ldningen(f\u2019(x)<\/span><span class=\"T572\">&#x200b;&#x200b;&nbsp;= 6x - 2)<\/span><span class=\"T573\">.<\/span><span class=\"T574\">&#x200b;&#x200b;&nbsp;S<\/span><span class=\"T575\">\u00e5<\/span><span class=\"T576\">&#x200b;&#x200b;&nbsp;kort fortalt s\u00e5 kan det siges at&#x200b;&#x200b;&nbsp;<\/span><span class=\"T577\">a<\/span><span class=\"T578\">&#x200b;&#x200b;&nbsp;= 6x+3<\/span><span class=\"T579\">\u0394<\/span><span class=\"T580\">x-2 -&gt; 6x-2(gr\u00e6nsev\u00e6rdi)<\/span><span class=\"T581\">.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T582\">Dermed har jeg defineret den gr\u00e6nsev\u00e6rdi jeg n\u00e5r frem til som tangenth\u00e6ldningen.<\/span><\/p><p class=\"P583\">&nbsp;<\/p><p class=\"P584\">&nbsp;<\/p><\/div><\/section><script>(function( $ ) {\n    \/\/footnotes\n    $('.defaultNote').children(\":first\").css('cursor', 'pointer');\n    $('.defaultNote').children(\":first\").click(function(){\n        var gotoID = '#' + $(this).parent().attr('id');\n        $('html, body').animate(\n            {\n              scrollTop: $('a[href=\"' + gotoID + '\"]').offset().top - 60,\n            },\n            250,\n            'linear'\n          )\n    });\n}(jQuery));\n\n\n<\/script><script>\nvar numFormat = \",.\";\n(function( $ ) {\n    \"use strict\";\n    \/\/do some cleaning on load\n    var sortCells = $('td[data-sorting], th[data-sorting]');\n    sortCells.each(function(){\n        var first = $(this).text().trim().charAt(0);\n        if (first == '@'){\n            var oldHTML = $(this).html();\n            var newHTML = oldHTML.replace('@', '');\n            $(this).html(newHTML);\n        } \n    });\n    function sortingTable(node, pos, ordBy){\n        var rows = node.children('tbody').children('tr').get();\n\n        rows.sort(function(a, b) {\n\n        var X = $(a).children('td').eq(pos).text().toUpperCase();\n        var Y = $(b).children('td').eq(pos).text().toUpperCase();\n        \n        if (numFormat != '.,'){\n            \/\/we are dealing with a different locale and we need to do some \n            \/\/transformation in numbers\n            X = convert2number(X);\n            Y = convert2number(Y);\n        } else {\n            X = X.replace(\/,\/g, '').replace(\/ \/g, '');\n            Y = Y.replace(\/,\/g, '').replace(\/ \/g, '');\n        }\n        var currencies = ['$', '\u00a5', '\u00a3', '\u20ac'];\n        var arrayLength = currencies.length;\n        var XX = X;\n        var YY = Y;\n        for (var i = 0; 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