{"id":51,"date":"2024-05-29T21:48:30","date_gmt":"2024-05-29T21:48:30","guid":{"rendered":"https:\/\/formulariosemiserio.it\/?p=51"},"modified":"2024-05-29T21:48:32","modified_gmt":"2024-05-29T21:48:32","slug":"derivate-fondamentali","status":"publish","type":"post","link":"https:\/\/formulariosemiserio.it\/?p=51","title":{"rendered":"Derivate fondamentali"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Per riconoscere le principali derivate fondamentali possiamo utilizzare la seguente tabella:<\/p>\n\n\n\n<!DOCTYPE html>\n<html lang=\"it\">\n<head>\n    <meta charset=\"UTF-8\">\n    <meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\n    <link rel=\"stylesheet\" href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.12.0\/dist\/katex.min.css\">\n    <script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.12.0\/dist\/katex.min.js\"><\/script>\n    <script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.12.0\/dist\/contrib\/auto-render.min.js\" \n        onload=\"renderMathInElement(document.body);\"><\/script>\n    <style>\n        table {\n            width: 50%;\n            border-collapse: collapse;\n            margin: 25px 0;\n            font-size: 18px;\n            text-align: left;\n        }\n        th, td {\n            padding: 12px;\n            border-bottom: 1px solid #ddd;\n        }\n        th {\n            background-color: #f2f2f2;\n        }\n    <\/style>\n<\/head>\n<body>\n\n<table>\n    <tr>\n        <th>Funzione<\/th>\n        <th>Derivata<\/th>\n    <\/tr>\n    <tr>\n        <td>\\( f(x) = c \\)<\/td>\n        <td>\\( f'(x) = 0 \\)<\/td>\n    <\/tr>\n    <tr>\n        <td>\\( f(x) = x \\)<\/td>\n        <td>\\( f'(x) = 1 \\)<\/td>\n    <\/tr>\n    <tr>\n        <td>\\( f(x) = x^n \\)<\/td>\n        <td>\\( f'(x) = nx^{n-1} \\)<\/td>\n    <\/tr>\n    <tr>\n        <td>\\( f(x) = e^x \\)<\/td>\n        <td>\\( f'(x) = e^x \\)<\/td>\n    <\/tr>\n    <tr>\n        <td>\\( f(x) = a^x \\)<\/td>\n        <td>\\( f'(x) = a^x \\ln(a) \\)<\/td>\n    <\/tr>\n    <tr>\n        <td>\\( f(x) = \\ln(x) \\)<\/td>\n        <td>\\( f'(x) = \\frac{1}{x} \\)<\/td>\n    <\/tr>\n    <tr>\n        <td>\\( f(x) = \\log_a(x) \\)<\/td>\n        <td>\\( f'(x) = \\frac{1}{x \\ln(a)} \\)<\/td>\n    <\/tr>\n    <tr>\n        <td>\\( f(x) = \\sin(x) \\)<\/td>\n        <td>\\( f'(x) = \\cos(x) \\)<\/td>\n    <\/tr>\n    <tr>\n        <td>\\( f(x) = \\cos(x) \\)<\/td>\n        <td>\\( f'(x) = -\\sin(x) \\)<\/td>\n    <\/tr>\n  \n<\/table>\n\n<\/body>\n<\/html>\n\n","protected":false},"excerpt":{"rendered":"<p>Tabella delle derivate fondamentali<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-51","post","type-post","status-publish","format-standard","hentry","category-le-derivate"],"_links":{"self":[{"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=\/wp\/v2\/posts\/51","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=51"}],"version-history":[{"count":1,"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=\/wp\/v2\/posts\/51\/revisions"}],"predecessor-version":[{"id":53,"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=\/wp\/v2\/posts\/51\/revisions\/53"}],"wp:attachment":[{"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=51"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=51"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=51"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}