{"id":2430,"date":"2023-05-30T09:42:31","date_gmt":"2023-05-30T07:42:31","guid":{"rendered":"https:\/\/mxth.dk\/?page_id=2430"},"modified":"2023-05-30T09:42:31","modified_gmt":"2023-05-30T07:42:31","slug":"opgaver-til-differentialregning","status":"publish","type":"page","link":"https:\/\/mxth.dk\/?page_id=2430","title":{"rendered":"Opgaver til differentialregning"},"content":{"rendered":"\n<p class=\" eplus-wrapper\">En samling af opgaver til differentialregning<\/p>\n\n\n\n<h5 class=\" wp-block-heading eplus-wrapper\">Generelle regneregler<\/h5>\n\n\n\n<p class=\" eplus-wrapper\">K\u00e6dereglen<\/p>\n\n\n\n<div class=\"wp-block-kadence-accordion alignnone\"><div class=\"kt-accordion-wrap kt-accordion-id_1ed92a-b4 kt-accordion-has-2-panes kt-active-pane-0 kt-accordion-block kt-pane-header-alignment-left kt-accodion-icon-style-basic kt-accodion-icon-side-right\" style=\"max-width:none\"><div class=\"kt-accordion-inner-wrap\" data-allow-multiple-open=\"false\" data-start-open=\"none\">\n<div class=\"wp-block-kadence-pane kt-accordion-pane kt-accordion-pane-1 kt-pane_8551a7-3a\" id=\"DRKR001\"><div class=\"kt-accordion-header-wrap\"><button class=\"kt-blocks-accordion-header kt-acccordion-button-label-show\"><span class=\"kt-blocks-accordion-title-wrap\"><span class=\"kt-blocks-accordion-title\">DRKR001<\/span><\/span><span class=\"kt-blocks-accordion-icon-trigger\"><\/span><\/button><\/div><div class=\"kt-accordion-panel kt-accordion-panel-hidden\"><div class=\"kt-accordion-panel-inner\">\n<p class=\" eplus-wrapper\">Differentier f\u00f8lgende funktioner ved hj\u00e6lp af k\u00e6dereglen.<\/p>\n\n\n<ol class=\"eplus-wrapper wp-block-list eplus-styles-uid-43e138\">\n<li class=\" eplus-wrapper\">$f(x)=\\ln(3x-2)$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$g(x)=e^{2x^3+5}$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$h(x)=\\sqrt{\\ln(x)}$<\/li>\n<\/ol><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-kadence-pane kt-accordion-pane kt-accordion-pane-2 kt-pane_ffcf14-30\" id=\"DRKR002\"><div class=\"kt-accordion-header-wrap\"><button class=\"kt-blocks-accordion-header kt-acccordion-button-label-show\"><span class=\"kt-blocks-accordion-title-wrap\"><span class=\"kt-blocks-accordion-title\">DRKR002<\/span><\/span><span class=\"kt-blocks-accordion-icon-trigger\"><\/span><\/button><\/div><div class=\"kt-accordion-panel kt-accordion-panel-hidden\"><div class=\"kt-accordion-panel-inner\">\n<p class=\" eplus-wrapper\">Differentier f\u00f8lgende funktioner ved hj\u00e6lp af k\u00e6dereglen.<\/p>\n\n\n<ol class=\"eplus-wrapper wp-block-list eplus-styles-uid-d03e4a\">\n<li class=\" eplus-wrapper\">$f(x)=\\exp({\\ln(x^2+1)})$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$g(x)=\\ln(x+\\exp({x^2}))$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$h(x)=\\ln(\\sqrt{x^2+1})$<\/li>\n<\/ol><\/div><\/div><\/div>\n<\/div><\/div><\/div>\n\n\n\n<p class=\" eplus-wrapper\">Produktreglen<\/p>\n\n\n\n<div class=\"wp-block-kadence-accordion alignnone\"><div class=\"kt-accordion-wrap kt-accordion-id_15c90f-77 kt-accordion-has-2-panes kt-active-pane-0 kt-accordion-block kt-pane-header-alignment-left kt-accodion-icon-style-basic kt-accodion-icon-side-right\" style=\"max-width:none\"><div class=\"kt-accordion-inner-wrap\" data-allow-multiple-open=\"false\" data-start-open=\"none\">\n<div class=\"wp-block-kadence-pane kt-accordion-pane kt-accordion-pane-1 kt-pane_166a01-fa\" id=\"DRPR001\"><div class=\"kt-accordion-header-wrap\"><button class=\"kt-blocks-accordion-header kt-acccordion-button-label-show\"><span class=\"kt-blocks-accordion-title-wrap\"><span class=\"kt-blocks-accordion-title\">DRPR001<\/span><\/span><span class=\"kt-blocks-accordion-icon-trigger\"><\/span><\/button><\/div><div class=\"kt-accordion-panel kt-accordion-panel-hidden\"><div class=\"kt-accordion-panel-inner\">\n<p class=\" eplus-wrapper\">Differentier f\u00f8lgende funktioner ved hj\u00e6lp af produktreglen.<\/p>\n\n\n<ol class=\"eplus-wrapper wp-block-list eplus-styles-uid-3d376a\">\n<li class=\" eplus-wrapper\">$f(x)=(x+1)\\cdot (x-1)$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$g(x)=x^3\\cdot (x^2+2)$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$h(x)=(2x+1)\\cdot (3x-2)$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$i(x)=x^2\\cdot e^x$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$j(x)=x\\cdot \\ln(x)$<\/li>\n<\/ol>\n\n\n<div class=\"wp-block-kadence-accordion alignnone\"><div class=\"kt-accordion-wrap kt-accordion-id_c91723-d0 kt-accordion-has-2-panes kt-active-pane-0 kt-accordion-block kt-pane-header-alignment-left kt-accodion-icon-style-basic kt-accodion-icon-side-right\" style=\"max-width:none\"><div class=\"kt-accordion-inner-wrap\" data-allow-multiple-open=\"false\" data-start-open=\"none\"><\/div><\/div><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div><\/div>\n\n\n\n\n\n\n\n<p class=\" eplus-wrapper\">Blandede opgaver med regneregler<\/p>\n\n\n\n<div class=\"wp-block-kadence-accordion alignnone\"><div class=\"kt-accordion-wrap kt-accordion-id_dba9c0-20 kt-accordion-has-2-panes kt-active-pane-0 kt-accordion-block kt-pane-header-alignment-left kt-accodion-icon-style-basic kt-accodion-icon-side-right\" style=\"max-width:none\"><div class=\"kt-accordion-inner-wrap\" data-allow-multiple-open=\"false\" data-start-open=\"none\">\n<div class=\"wp-block-kadence-pane kt-accordion-pane kt-accordion-pane-1 kt-pane_dabf81-bb\" id=\"DRBPR001\"><div class=\"kt-accordion-header-wrap\"><button class=\"kt-blocks-accordion-header kt-acccordion-button-label-show\"><span class=\"kt-blocks-accordion-title-wrap\"><span class=\"kt-blocks-accordion-title\">DRBOR001<\/span><\/span><span class=\"kt-blocks-accordion-icon-trigger\"><\/span><\/button><\/div><div class=\"kt-accordion-panel kt-accordion-panel-hidden\"><div class=\"kt-accordion-panel-inner\">\n<p class=\" eplus-wrapper\">Differentier f\u00f8lgende funktioner.<\/p>\n\n\n<ol class=\"eplus-wrapper wp-block-list eplus-styles-uid-136d29\">\n<li class=\" eplus-wrapper\">$f(x)=(x^2+1)^4\\cdot (2x-3)$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$g(x)=(2x+1)^3\\cdot (3x^2+1)^4$<\/li>\n\n\n\n<li class=\" eplus-wrapper\">$h(x)=\\exp ((2x+1)\\cdot (x^2+1)^3)$<\/li>\n<\/ol><\/div><\/div><\/div>\n<\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>En samling af opgaver til differentialregning Generelle regneregler K\u00e6dereglen Produktreglen Blandede opgaver med regneregler<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ub_ctt_via":"","editor_plus_copied_stylings":"{}","footnotes":""},"categories":[],"tags":[],"class_list":["post-2430","page","type-page","status-publish","hentry"],"featured_image_src":null,"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/pages\/2430","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2430"}],"version-history":[{"count":5,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/pages\/2430\/revisions"}],"predecessor-version":[{"id":2474,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/pages\/2430\/revisions\/2474"}],"wp:attachment":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2430"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2430"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2430"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}