{"id":3198,"date":"2020-10-23T11:43:15","date_gmt":"2020-10-23T09:43:15","guid":{"rendered":"http:\/\/jhmaths.fr\/?page_id=3198"},"modified":"2025-05-09T09:27:16","modified_gmt":"2025-05-09T07:27:16","slug":"fonction-derivee","status":"publish","type":"page","link":"https:\/\/jhmaths.fr\/index.php\/premiere-technologique\/fonction-derivee\/","title":{"rendered":"Fonction d\u00e9riv\u00e9e"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Calculer une d\u00e9riv\u00e9e<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\\(f(x)\\)<\/td><td>\\(f'(x)\\)<\/td><\/tr><tr><td>\\(k \\)<\/td><td>\\( 0\\)<\/td><\/tr><tr><td>\\(ax+b \\)<\/td><td>\\(a \\)<\/td><\/tr><tr><td>\\(x^2 \\)<\/td><td>\\( 2x\\)<\/td><\/tr><tr><td>\\(ax^2+bx+c \\)<\/td><td>\\( 2ax+b\\)<\/td><\/tr><tr><td>\\(x^3 \\)<\/td><td>\\(3x^2 \\)<\/td><\/tr><tr><td>\\(ax^3+bx^2+cx+d \\)<\/td><td>\\(3ax^2+2bx+c \\)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"D\u00e9river une fonction - Premi\u00e8re ESM et Techno\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/uTk3T_GfwYo?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"D\u00e9river une fonction (2) - Premi\u00e8re\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/1fOGueiO_zk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<div style=\"height:126px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Lien entre d\u00e9riv\u00e9e et variations<\/h2>\n\n\n\n<div class=\"wp-block-group propriete has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"wp-block-paragraph\">Soit \\(f\\) une fonction et \\(f&rsquo;\\) sa d\u00e9riv\u00e9e. Alors :<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Si \\(f'(x)\\) est positive alors \\(f\\) est croissante<\/li>\n\n\n\n<li>Si \\(f'(x)\\) est n\u00e9gative alors \\(f\\) est d\u00e9croissante<\/li>\n<\/ul>\n<\/div>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Comprendre SIGNE DE LA D\u00c9RIV\u00c9E \u2194\ufe0e VARIATIONS - Premi\u00e8re\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/dPIlTNyBCiw?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n<h3 style=\"text-align: center;\">Quizz<\/h3>\n<p style=\"text-align: center;\"><div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-65\" class=\"h5p-iframe\" data-content-id=\"65\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"1STHR nombre d\u00e9riv\u00e9\"><\/iframe><\/div><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculer une d\u00e9riv\u00e9e \\(f(x)\\) \\(f'(x)\\) \\(k \\) \\( 0\\) \\(ax+b \\) \\(a \\) \\(x^2 \\) \\( 2x\\) \\(ax^2+bx+c \\) \\( 2ax+b\\) \\(x^3 \\) \\(3x^2 \\) \\(ax^3+bx^2+cx+d \\) \\(3ax^2+2bx+c \\) Lien entre d\u00e9riv\u00e9e et variations Soit \\(f\\) une fonction et \\(f&rsquo;\\) sa d\u00e9riv\u00e9e. Alors :<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2319,"menu_order":8,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"folder":[],"class_list":["post-3198","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/3198","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/comments?post=3198"}],"version-history":[{"count":8,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/3198\/revisions"}],"predecessor-version":[{"id":4067,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/3198\/revisions\/4067"}],"up":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2319"}],"wp:attachment":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/media?parent=3198"}],"wp:term":[{"taxonomy":"folder","embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/folder?post=3198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}