{"id":861,"date":"2014-12-03T21:32:28","date_gmt":"2014-12-03T20:32:28","guid":{"rendered":"http:\/\/www.unimath.fr\/?p=861"},"modified":"2016-05-28T15:18:29","modified_gmt":"2016-05-28T14:18:29","slug":"dm-guide-fonction-exponentielle","status":"publish","type":"post","link":"http:\/\/www.unimath.fr\/?p=861","title":{"rendered":"DM guid\u00e9 – Fonction exponentielle n\u00b01"},"content":{"rendered":"

Sujet :\u00a0Cliquer ici<\/a><\/strong><\/p>\n

Correction<\/strong> :\u00a0Cliquer ici<\/a><\/p>\n

    \n
  1. [peekaboo_link name=\u00a0\u00bbquestion1″]Aide pour limite en – \\infty [\/peekaboo_link][peekaboo_content name=\u00a0\u00bbquestion1″] D\u00e9velopper f(x) pour lever l’ind\u00e9termination[\/peekaboo_content]<\/li>\n
  2. [peekaboo_link name=\u00a0\u00bbquestion2″]R\u00e9ponse\u00a0pour d\u00e9riv\u00e9e de f[\/peekaboo_link][peekaboo_content name=\u00a0\u00bbquestion2″] f'(x)=-xe^x [\/peekaboo_content]<\/li>\n
  3. [peekaboo_link name=\u00a0\u00bbquestion3″]R\u00e9ponse\u00a0pour \u00e9quations des tangentes[\/peekaboo_link][peekaboo_content name=\u00a0\u00bbquestion3″] y = - ex + e
    \ny=\\dfrac{x}{e}+\\dfrac{3}{e} [\/peekaboo_content]
    \n[peekaboo_link name=\u00a0\u00bbquestion3b\u00a0\u00bb]M\u00e9thode pour montrer que les tangentes sont perpendiculaires[\/peekaboo_link]
    \n[peekaboo_content name=\u00a0\u00bbquestion3b\u00a0\u00bb]A partir du coefficient directeur d’une tangente, trouver un vecteur directeur puis montrer que\u00a0les vecteurs directeurs\u00a0sont orthogonaux \u00e0 l’aide du produit scalaire [\/peekaboo_content]<\/li>\n
  4. En quoi l’\u00e9tude de g(x) nous indique la position de la tangente par rapport \u00e0 la courbe de f ?
    \n[peekaboo_link name=\u00a0\u00bbquestion4″]R\u00e9ponse\u00a0pour d\u00e9riv\u00e9e seconde de g [\/peekaboo_link][peekaboo_content name=\u00a0\u00bbquestion4″] La d\u00e9riv\u00e9e seconde est \u00a0 \u00a0 -e^x-xe^x
    \n[\/peekaboo_content]
    \n[peekaboo_link name=\u00a0\u00bbquestion4b\u00a0\u00bb]Aide pour trouver le signe de la d\u00e9riv\u00e9e seconde[\/peekaboo_link][peekaboo_content name=\u00a0\u00bbquestion4b\u00a0\u00bb] Factoriser pour trouver le signe[\/peekaboo_content]
    \n[peekaboo_link name=\u00a0\u00bbquestion4c\u00a0\u00bb]R\u00e9ponse\u00a0pour variation de g[\/peekaboo_link][peekaboo_content name=\u00a0\u00bbquestion4c\u00a0\u00bb] g est d\u00e9croissante[\/peekaboo_content]<\/li>\n<\/ol>\n

     <\/p>\n","protected":false},"excerpt":{"rendered":"

    Sujet :\u00a0Cliquer ici Correction :\u00a0Cliquer ici [peekaboo_link name=\u00a0\u00bbquestion1″]Aide pour limite en – [\/peekaboo_link][peekaboo_content name=\u00a0\u00bbquestion1″] D\u00e9velopper pour lever l’ind\u00e9termination[\/peekaboo_content] [peekaboo_link name=\u00a0\u00bbquestion2″]R\u00e9ponse\u00a0pour d\u00e9riv\u00e9e de f[\/peekaboo_link][peekaboo_content name=\u00a0\u00bbquestion2″] [\/peekaboo_content] [peekaboo_link name=\u00a0\u00bbquestion3″]R\u00e9ponse\u00a0pour \u00e9quations des tangentes[\/peekaboo_link][peekaboo_content name=\u00a0\u00bbquestion3″] [\/peekaboo_content] [peekaboo_link name=\u00a0\u00bbquestion3b\u00a0\u00bb]M\u00e9thode pour montrer que les tangentes sont perpendiculaires[\/peekaboo_link] [peekaboo_content name=\u00a0\u00bbquestion3b\u00a0\u00bb]A partir du coefficient directeur d’une tangente, trouver un vecteur directeur puis montrer […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"http:\/\/www.unimath.fr\/index.php?rest_route=\/wp\/v2\/posts\/861"}],"collection":[{"href":"http:\/\/www.unimath.fr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.unimath.fr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.unimath.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.unimath.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=861"}],"version-history":[{"count":23,"href":"http:\/\/www.unimath.fr\/index.php?rest_route=\/wp\/v2\/posts\/861\/revisions"}],"predecessor-version":[{"id":2317,"href":"http:\/\/www.unimath.fr\/index.php?rest_route=\/wp\/v2\/posts\/861\/revisions\/2317"}],"wp:attachment":[{"href":"http:\/\/www.unimath.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=861"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.unimath.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=861"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.unimath.fr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=861"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}