{"id":2895,"date":"2020-04-06T11:13:10","date_gmt":"2020-04-06T09:13:10","guid":{"rendered":"http:\/\/jhmaths.fr\/?page_id=2895"},"modified":"2025-01-13T09:10:37","modified_gmt":"2025-01-13T08:10:37","slug":"derivation-local","status":"publish","type":"page","link":"https:\/\/jhmaths.fr\/index.php\/premiere-technologique\/derivation-local\/","title":{"rendered":"Nombre d\u00e9riv\u00e9 et tangente"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Taux de variation et Coefficient directeur<\/h2>\n\n\n\n<p class=\"has-text-align-left propriete wp-block-paragraph\">Le taux de variation d&rsquo;une fonction \\(f\\) entre \\(a\\) et \\(b\\) vaut <br>\\[\\displaystyle m=\\frac{f(b)-f(a)}{b-a}\\]<br>Le taux de variation d&rsquo;une fonction \\(f\\) en \\(a\\) vaut<br>\\[\\displaystyle m=\\frac{f(a+h)-f(a)}{h}\\]<br>(on a remplac\u00e9 \\(b\\) par \\(a+h\\) )<\/p>\n\n\n\n<p class=\"has-text-align-left propriete wp-block-paragraph\">Une droite \\((AB)\\) a pour \u00e9quation \\(f(x)=mx+p\\) ;<br>\\(m\\) est le coefficient directeur ; il vaut<br>\\[\\displaystyle m=\\frac{y_B-y_A}{x_B-x_A}\\]<br>(c&rsquo;est le taux de variation de \\(f\\) entre \\(x_A\\) et \\(x_B\\) )<\/p>\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=\"Calculer le coefficient directeur d&#039;une droite\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/AeOvx12gDtk?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<h2 class=\"wp-block-heading\">Nombre d\u00e9riv\u00e9 et tangente<\/h2>\n\n\n\n<p class=\"propriete wp-block-paragraph\">Si \\(f\\) est une fonction, <br>\\(\\mathscr{C}\\) sa courbe <br>et \\(A\\) est un point de la courbe qui a pour abscisse \\(a\\).<br><br>Alors le <strong>nombre d\u00e9riv\u00e9 est le coefficient directeur de la tangente \u00e0 la courbe au point \\(A\\)<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"249\" src=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/04\/tangente-300x249.png\" alt=\"\" class=\"wp-image-2842\" srcset=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/04\/tangente-300x249.png 300w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2020\/04\/tangente.png 550w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/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=\"Calculer le nombre d\u00e9riv\u00e9 (1) - Premi\u00e8re\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/UmT0Gov6yyE?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:63px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\">Quizz<\/h2>\n\n\n<div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-64\" class=\"h5p-iframe\" data-content-id=\"64\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"1STHR nombre d\u00e9riv\u00e9 (1)\"><\/iframe><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Taux de variation et Coefficient directeur Le taux de variation d&rsquo;une fonction \\(f\\) entre \\(a\\) et \\(b\\) vaut \\[\\displaystyle m=\\frac{f(b)-f(a)}{b-a}\\]Le taux de variation d&rsquo;une fonction \\(f\\) en \\(a\\) vaut\\[\\displaystyle m=\\frac{f(a+h)-f(a)}{h}\\](on a remplac\u00e9 \\(b\\) par \\(a+h\\) ) Une droite \\((AB)\\) a pour \u00e9quation \\(f(x)=mx+p\\) ;\\(m\\) est le coefficient directeur ; il vaut\\[\\displaystyle m=\\frac{y_B-y_A}{x_B-x_A}\\](c&rsquo;est le taux de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2319,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"folder":[],"class_list":["post-2895","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2895","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=2895"}],"version-history":[{"count":18,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2895\/revisions"}],"predecessor-version":[{"id":4004,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2895\/revisions\/4004"}],"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=2895"}],"wp:term":[{"taxonomy":"folder","embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/folder?post=2895"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}