{"id":54,"date":"2024-05-29T21:57:55","date_gmt":"2024-05-29T21:57:55","guid":{"rendered":"https:\/\/formulariosemiserio.it\/?p=54"},"modified":"2024-05-29T22:01:38","modified_gmt":"2024-05-29T22:01:38","slug":"operazioni-con-le-derivate","status":"publish","type":"post","link":"https:\/\/formulariosemiserio.it\/?p=54","title":{"rendered":"Operazioni con le derivate"},"content":{"rendered":"\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 \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        \n       \n        section {\n            margin-bottom: 20px;\n        }\n    <\/style>\n<\/head>\n<body>\n\n\n\n\n<section>\n    <h4>Derivata della somma<\/h4>\n    <p>Se \\( f(x) \\) e \\( g(x) \\) sono due funzioni derivabili, allora la derivata della loro somma \u00e8:<\/p>\n    <p>\\[\n        (f + g)'(x) = f'(x) + g'(x)\n    \\]<\/p>\n<\/section>\n\n<section>\n    <h4>Derivata della sottrazione<\/h4>\n    <p>Se \\( f(x) \\) e \\( g(x) \\) sono due funzioni derivabili, allora la derivata della loro sottrazione \u00e8:<\/p>\n    <p>\\[\n        (f &#8211; g)'(x) = f'(x) &#8211; g'(x)\n    \\]<\/p>\n<\/section>\n\n<section>\n    <h4>Derivata del prodotto<\/h4>\n    <p>Se \\( f(x) \\) e \\( g(x) \\) sono due funzioni derivabili, allora la derivata del loro prodotto \u00e8:<\/p>\n    <p>\\[\n        (f \\cdot g)'(x) = f'(x)g(x) + f(x)g'(x)\n    \\]<\/p>\n<\/section>\n\n<section>\n    <h4>Derivata del quoziente<\/h4>\n    <p>Se \\( f(x) \\) e \\( g(x) \\) sono due funzioni derivabili e \\( g(x) \\neq 0 \\), allora la derivata del loro quoziente \u00e8:<\/p>\n    <p>\\[\n        \\left( \\frac{f}{g} \\right)'(x) = \\frac{f'(x)g(x) &#8211; f(x)g'(x)}{[g(x)]^2}\n    \\]<\/p>\n<\/section>\n\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>derivata della somma, sottrazione, prodotto, quoziente<\/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-54","post","type-post","status-publish","format-standard","hentry","category-le-derivate"],"_links":{"self":[{"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=\/wp\/v2\/posts\/54","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=54"}],"version-history":[{"count":3,"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=\/wp\/v2\/posts\/54\/revisions"}],"predecessor-version":[{"id":58,"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=\/wp\/v2\/posts\/54\/revisions\/58"}],"wp:attachment":[{"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=54"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=54"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/formulariosemiserio.it\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=54"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}