{"id":3167,"date":"2024-04-14T20:57:37","date_gmt":"2024-04-14T18:57:37","guid":{"rendered":"https:\/\/mxth.dk\/?p=3167"},"modified":"2026-04-09T22:41:01","modified_gmt":"2026-04-09T20:41:01","slug":"newton-raphsons-metode-til-at-finde-nulpunkter-for-en-funktion","status":"publish","type":"post","link":"https:\/\/mxth.dk\/?p=3167","title":{"rendered":"Newton-Raphsons metode til at finde nulpunkter for en funktion"},"content":{"rendered":"\n<p class=\" eplus-wrapper\">Newton-Raphsons metode er rekursiv algoritme som g\u00e5r det muligt at finde nulpunkter for funktioner, selv for funktioner hvor vi ikke kan finde nulpunktet analytisk.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Stenner har en glimrende video hvor han gennemg\u00e5r Newton-Raphsons metode <a href=\"https:\/\/sites.google.com\/view\/stenners-matematik\/diskret-matematik#h.p_hooEz92R0ibf\">her<\/a>. <\/p>\n\n\n\n<p class=\" eplus-wrapper\">Der er dog en begr\u00e6nsning ved Newton-Raphsons metode som g\u00e5r at den til tider vil divergere og ikke finde en rod. Stenner har ogs\u00e5 en video omkring denne problemstilling og metodens <a href=\"https:\/\/sites.google.com\/view\/stenners-matematik\/diskret-matematik#h.p_lF_ahoRS0k__\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">begr\u00e6nsninger<\/a>.<\/p>\n\n\n<h2 class=\" wp-block-heading has-system-font-font-family eplus-wrapper eplus-styles-uid-4f3c87\" style=\"font-style:normal;font-weight:200\">Opgaver<\/h2>\n\n\n<style>\n  table, th, td {\n    border: 1px solid black;\n    border-collapse: collapse;\n  }\n<\/style>\n<table width=\"100%\" border=\"1\">\n  <thead>\n    <tr>\n      <th scope=\"col\" width=\"33%\" bgcolor=\"#3CB371\">Gr\u00f8n<\/th>\n      <th scope=\"col\" width=\"33%\" bgcolor=\"#FFA500\">Gul<\/th>\n      <th scope=\"col\" width=\"33%\" bgcolor=\"#DC143C\">R\u00f8d<\/th>\n    <\/tr>\n  <\/thead>\n  <tbody>\n    <tr>\n      <td>\n        <p><a href=\"https:\/\/mathtxa.systime.dk\/?id=506#c2553\" target=\"_blank\" rel=\"noopener noreferrer\">matAhtx 5.24<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/mathtxa.systime.dk\/?id=506#c2568\" target=\"_blank\" rel=\"noopener noreferrer\">matAhtx 5.26<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/mathtxa.systime.dk\/?id=506#c2573\" target=\"_blank\" rel=\"noopener noreferrer\">matAhtx 5.27<\/a><\/p>\n      <\/td>\n    <\/tr>\n  <\/tbody>\n<\/table>\n\n\n\n<p class=\" eplus-wrapper\">Der er en eksamensopgave fra 2022 hvor man skal benytte Newton-Raphsons metode til at l\u00f8se en ligning. Opgaven kan findes <a href=\"https:\/\/www.dropbox.com\/scl\/fi\/7zc1506hi5f3so5f3pjel\/Eksamensopgave-2022-Newton-Raphsons-metode.docx?rlkey=7vww7dyd6obr6cs4ur1k91utb&amp;dl=1\">her<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Newton-Raphsons metode er rekursiv algoritme som g\u00e5r det muligt at finde nulpunkter for funktioner, selv for funktioner hvor vi ikke kan finde nulpunktet analytisk. Stenner har en glimrende video hvor han gennemg\u00e5r Newton-Raphsons metode her. Der er dog en begr\u00e6nsning ved Newton-Raphsons metode som g\u00e5r at den til tider vil divergere og ikke finde en [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","editor_plus_copied_stylings":"{}","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[59,3],"tags":[74],"class_list":["post-3167","post","type-post","status-publish","format-standard","hentry","category-diskret-matematik","category-matematik","tag-htx"],"featured_image_src":null,"author_info":{"display_name":"Henriksen","author_link":"https:\/\/mxth.dk\/?author=1"},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/3167","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/types\/post"}],"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=3167"}],"version-history":[{"count":3,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/3167\/revisions"}],"predecessor-version":[{"id":3302,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/3167\/revisions\/3302"}],"wp:attachment":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3167"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3167"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}