{"id":87805,"date":"2021-01-18T11:16:24","date_gmt":"2021-01-18T10:16:24","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=87805"},"modified":"2021-01-18T11:21:51","modified_gmt":"2021-01-18T10:21:51","slug":"cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/","title":{"rendered":"Exercices sur la fonction exponentielle en premi\u00e8re"},"content":{"rendered":"
\n
\n
\n
\n
\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

Cours en ligne Maths en Premi\u00e8re<\/a><\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

\n\t\t\t\t
\n\t\t\t\t\t

Chapitres de maths en 1\u00e8re<\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tPolyn\u00f4mes du second degr\u00e8s<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tSuites num\u00e9riques<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tSuites arithm\u00e9tiques et g\u00e9om\u00e9triques<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tD\u00e9rivation<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tVariations et courbes repr\u00e9sentatives de fonctions<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tFonction exponentielle<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tFonctions trigonom\u00e9triques<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tCalcul vectoriel et produit scalaire<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tApplication du produit scalaire<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tProbabilit\u00e9s conditionnelles<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tVariables al\u00e9atoires<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tG\u00e9om\u00e9trie rep\u00e9r\u00e9e<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tCONTACTEZ-NOUS<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t<\/div>\n
\n
\n
\n

Exercices sur la fonction exponentielle en premi\u00e8re<\/h1>\n<\/div>\n

R\u00e9sum\u00e9 de cours<\/a> Exercices et corrig\u00e9s<\/a><\/p>\n

Cours en ligne de Maths en Premi\u00e8re<\/a><\/p>\n

Ces exercices sur la fonction exponentielle en 1\u00e8re<\/strong> permettent aux \u00e9l\u00e8ves de r\u00e9viser le cours en ligne de maths en premi\u00e8re<\/a>.<\/p>\n

Des exercices sur les autres chapitres de premi\u00e8re sont \u00e9galement disponibles : des exercices sur les suites num\u00e9riques<\/a>, des exercices sur les suites arithm\u00e9tiques et g\u00e9om\u00e9triques<\/a>, des exercices sur le second degr\u00e9<\/a>, etc.<\/p>\n

\n

Fonction exponentielle : exercice 1<\/h2>\n

Simplifier les expressions suivantes pour obtenir une expression de la forme \"e^a\":<\/p>\n

Question 1<\/h3>\n

\"e^{-5}\times \dfrac{1}{e^{-3}}\times e\"<\/p>\n

Question 2<\/h3>\n

\"\dfrac{e^{10}}{-e^{-2}}\times \dfrac{-e^{-4}}{e^{8}}\"<\/p>\n

Question 3<\/h3>\n

\"e^3(e^{-3}-e^2)+e^2(e^3+e)-1\"<\/p>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

COURS PARTICULIERS 1\u00c8RE<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

Nous avons s\u00e9lectionn\u00e9 pour vous les meilleurs professeurs particuliers pour la Premi\u00e8re<\/b>.<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

POUR ACC\u00c9L\u00c9RER MA PROGRESSION<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tJe cherche des cours particuliers en 1\u00e8re<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Avis Google France <\/b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span> 4,9 sur 5<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

\n\t\t\t
\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n

Correction de l’exercice 1 sur la fonction exponentielle<\/h2>\n

Question 1<\/h3>\n

\"e^{-5}\times \dfrac{1}{e^{-3}}\times e\"<\/p>\n

\"=e^{-5}\times e^{3}\times e^1\"<\/p>\n

\"=e^{-5+3+1}\"<\/p>\n

\"=e^{-1}\"<\/p>\n

Question 2<\/h3>\n

\"\dfrac{e^{10}}{-e^{-2}}\times \dfrac{-e^{-4}}{e^{8}}\"<\/p>\n

\"=(-e^{10}\times e^2)\times (-e^{-4}\times e^{-8})\"<\/p>\n

\"=(-e^{10+2})\times(-e^{-4-8})\"<\/p>\n

Ce qui donne, \"\dfrac{e^{10}}{-e^{-2}}\times \dfrac{-e^{-4}}{e^{8}}=e^{12-12}=e^0\"<\/p>\n

Question 3<\/h3>\n

On a les \u00e9galit\u00e9s suivantes:<\/p>\n

\"e^3(e^{-3}-e^2)+e^2(e^3+e)-1\"<\/p>\n

\"=e^3\times e^{-3}-e^3\times e^2+e^2\times e^3+e^2\times e-1\"<\/p>\n

\"=e^{3-3}-e^{3+2}+e^{2+3}+e^{2+1}-1\"<\/p>\n

\"=1+e^3-1\"<\/p>\n

\"=e^3\"<\/p>\n

Fonction exponentielle : exercice 2<\/h2>\n

R\u00e9soudre dans \"\mathbb{R}\" l’in\u00e9quation:<\/p>\n

Question 1<\/h3>\n

\"e^x> e^{-x}\".<\/p>\n

Question 2<\/h3>\n

\"e^{2x+1}>1\".<\/p>\n

Question 3<\/h3>\n

\"e^{5x^2-12x}>e^{2x-4}\".<\/p>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

STAGE INTENSIF 1\u00c8RE<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

Profite de tes vacances pour gagner des points au bac.<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

96%<\/span><\/strong> \u00a0de progression \u00e0 l’issue du stage 1\u00e8re<\/span>
54%<\/strong><\/span> de mention Bien et Tr\u00e8s Bien au bac<\/span>
99%<\/span><\/strong> de satisfaction des familles et \u00e9l\u00e8ves<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tStage 1\u00e8re g\u00e9n\u00e9rale<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Avis Google France <\/b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span> 4,9 sur 5<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n

Correction de l’exercice 2 sur la fonction exponentielle<\/h2>\n

Question 1<\/h3>\n

On utilisera la propri\u00e9t\u00e9 suivante :<\/p>\n

Pour tout \"a\in\mathbb{R}\", tout \"b\in\mathbb{R}\", \"\mathbf{a < b \Leftrightarrow e^a < e^b}\"<\/p>\n

\"e^x > e^{-x}\"<\/p>\n

Pour tout \"x\in\mathbb{R}\", \"e^x > e^{-x} \Leftrightarrow x > -x \Leftrightarrow 2x > 0 \Leftrightarrow x > 0\"<\/p>\n

Alors, l’ensemble de solution est: \"]0;+\infty[\".<\/p>\n

Question 2<\/h3>\n

\"e^{2x+1} > 1\"<\/p>\n

Pour tout \"x\in\mathbb{R}\", \"e^{2x+1} > e^0 \Leftrightarrow 2x+1 > 0 \Leftrightarrow x > -\dfrac{1}{2}\"<\/p>\n

Donc, l’ensemble de solutions est : \"]-\dfrac{1}{2};+\infty[\"<\/p>\n

Question 3<\/h3>\n

\"e^{5x^2-12x} > e^{2x-4}\"<\/p>\n

Pour tout \"x\in\mathbb{R}\",<\/p>\n

\"e^{5x^2-12x} > e^{2x-4}\"<\/p>\n

\"\Leftrightarrow 5x^2-12x > 2x-4\"<\/p>\n

\"\Leftrightarrow 5x^{2}-14x+4>0\"<\/p>\n

Le discriminant du polyn\u00f4me \"P\" avec \"P(x)=5x^2 - 14x + 4\" vaut<\/p>\n

\"\Delta = 14^2 - 4\times 5\times 4\"<\/p>\n

\"= 196 - 80\"<\/p>\n

\"= 116\". Donc, \"P\" admet deux racines:<\/p>\n

\"x_1 =\dfrac{-b+\sqrt{\Delta}}{2a}\"<\/p>\n

\"=\dfrac{14+\sqrt{116}}{10}\"<\/p>\n

\"= \dfrac{14 + 2\sqrt{29}}{10}\"<\/p>\n

\"= \dfrac{7+\sqrt{29}}{5}\"<\/p>\n

et<\/p>\n

\"x_2 = \dfrac{-b-\sqrt{\Delta}}{2a}\"<\/p>\n

\"= \dfrac{14-2\sqrt{29}}{10}\"<\/p>\n

\"= \dfrac{7-\sqrt{29}}{5}\"<\/p>\n

Fonction exponentielle : exercice 3<\/h2>\n

Soit \"f\" la fonction d\u00e9finie par :<\/p>\n

\"f(x)=\frac{e^x-e^{-x}}{e^x+1}, x\in \mathbb{R}\"<\/p>\n

Question 1<\/h3>\n

Justifier la d\u00e9rivabilit\u00e9 de \"f\" sur \"\mathbb{R}.\"<\/p>\n

Question 2<\/h3>\n

D\u00e9montrer que pour tout r\u00e9el \"x\", \"f'(x)=e^{-x}\" o\u00f9 la fonction \"f'\" est la fonction d\u00e9riv\u00e9e de \"f\"<\/p>\n

Question 3<\/h3>\n

Dresser le tableau de variation complet de \"f\" sur \"\mathbb{R}\".<\/p>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

COURS DE MATHS<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

Les meilleurs professeurs particuliers<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

Pour progresser et r\u00e9ussir<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tCours particuliers maths<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Avis Google France <\/b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span> 4,9 sur 5<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

\n\t\t\t
\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n

Correction de l’exercice 3 sur la fonction exponentielle<\/h2>\n

(voir les exercices sur la d\u00e9rivation en premi\u00e8re<\/a>)<\/p>\n

Question 1<\/h3>\n

Les fonctions \"x\longmapsto e^x-e^{-x}\" et \"x\longmapsto e^x+1\" sont deux fonctions d\u00e9finies et d\u00e9rivables sur \"\mathbb{R}\",<\/p>\n

et pour tout \"x\in \mathbb{R}, e^x+1>0\" donc \"f\" est d\u00e9rivable sur \"\mathbb{R}\".<\/p>\n

Question 2<\/h3>\n

L’expression \"f(x)\" est de la forme \"\dfrac{u(x)}{v(x)}\", avec:<\/p>\n

\"u(x) = e^x-e^{-x}\"<\/p>\n

\"u'(x) = e^x+e^{-x}\"<\/p>\n

et<\/p>\n

\"v(x) = e^x+1\"<\/p>\n

\"v'(x) = e^x\"<\/p>\n

Alors, pour tout \"x\in\mathbb{R}\",<\/p>\n

\"f'(x) = \dfrac{u'(x)v(x) - u(x)v'(x)}{\left(v(x)\right)^2}\"<\/p>\n

\"= \dfrac{(e^x+e^{-x})(e^x+1) - (e^x-e^{-x})e^x}{(e^x+1)^2}\"<\/p>\n

\"= \dfrac{e^{2x}+e^x+1+e^{-x}-e^{2x}+1}{(e^x+1)^2}\"<\/p>\n

\"= \dfrac{e^x+e^{-x}+2}{(e^x+1)^2}\"<\/p>\n

\"= \dfrac{e^{-x}\left(\left(e^x\right)^2+1+2e^{x}\right)}{(e^x+1)^2}\"<\/p>\n

\"= e^{-x}\dfrac{(e^x+1)^2}{(e^x+1)^2}\"<\/p>\n

d’o\u00f9 \"f'(x) = e^{-x}\"<\/p>\n

Question 3<\/h3>\n

Tableau de variation de \"f\" sur \"\mathbb{R}\".<\/p>\n

Pour tout \"x\in \mathbb{R}, e^{-x}>0\", donc pour tout \"x\in \mathbb{R}, f'(x)>0\". On a le tableau de variation de \"f\" sur \"\mathbb{R}\" :<\/p>\n

\"fonction<\/p>\n

D’autres exercices plus complets sur la fonction exponentielle<\/strong> sont disponibles sur notre application mobile PrepApp qui contient \u00e9galement des cours et des exercices sur les autres mati\u00e8res du programme de premi\u00e8re.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Exercices sur la fonction exponentielle en premi\u00e8re R\u00e9sum\u00e9 de cours Exercices et corrig\u00e9s Cours en ligne de Maths en Premi\u00e8re Ces exercices sur la fonction exponentielle en 1\u00e8re permettent aux \u00e9l\u00e8ves de r\u00e9viser le cours en ligne de maths en premi\u00e8re. Des exercices sur les autres chapitres de premi\u00e8re sont \u00e9galement disponibles : des exercices […]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_post_layout":"full-screen","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"ressource","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"on","ocean_disable_heading":"on","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"on","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-87805","page","type-page","status-publish","entry"],"yoast_head":"\nFonction exponentielle en 1\u00e8re : exercices corrig\u00e9s gratuits<\/title>\n<meta name=\"description\" content=\"Retrouvez des exercices corrig\u00e9s gratuits sur la fonction exponentielle en premi\u00e8re : expression de la fonction exponentielle, \u00e9quation...\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fonction exponentielle en 1\u00e8re : exercices corrig\u00e9s gratuits\" \/>\n<meta property=\"og:description\" content=\"Retrouvez des exercices corrig\u00e9s gratuits sur la fonction exponentielle en premi\u00e8re : expression de la fonction exponentielle, \u00e9quation...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/\" \/>\n<meta property=\"og:site_name\" content=\"Groupe R\u00e9ussite\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/\" \/>\n<meta property=\"article:modified_time\" content=\"2021-01-18T10:21:51+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/groupe-reussite.fr\/wp-content\/uploads\/2021\/01\/fonction-exponentielle.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@GroupeReussite\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\\\/\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\\\/\",\"name\":\"Fonction exponentielle en 1\u00e8re : exercices corrig\u00e9s gratuits\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/wp-content\\\/uploads\\\/2021\\\/01\\\/fonction-exponentielle.png\",\"datePublished\":\"2021-01-18T10:16:24+00:00\",\"dateModified\":\"2021-01-18T10:21:51+00:00\",\"description\":\"Retrouvez des exercices corrig\u00e9s gratuits sur la fonction exponentielle en premi\u00e8re : expression de la fonction exponentielle, \u00e9quation...\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\\\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\\\/#primaryimage\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/wp-content\\\/uploads\\\/2021\\\/01\\\/fonction-exponentielle.png\",\"contentUrl\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/wp-content\\\/uploads\\\/2021\\\/01\\\/fonction-exponentielle.png\",\"width\":265,\"height\":160,\"caption\":\"fonction exponentielle 1\u00e8re\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Exercices sur la fonction exponentielle en premi\u00e8re\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#website\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/\",\"name\":\"Groupe R\u00e9ussite - Cours particuliers et stages de vacances\",\"description\":\"Stage et Cours particuliers maths, fran\u00e7ais, anglais, informatique, physique chimie\",\"publisher\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#organization\",\"name\":\"Groupe R\u00e9ussite - Cours particuliers et stages de vacances\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/wp-content\\\/uploads\\\/2026\\\/05\\\/logo-groupe-reussite-carre.png\",\"contentUrl\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/wp-content\\\/uploads\\\/2026\\\/05\\\/logo-groupe-reussite-carre.png\",\"width\":170,\"height\":180,\"caption\":\"Groupe R\u00e9ussite - Cours particuliers et stages de vacances\"},\"image\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/GroupeReussiteOfficiel\\\/\",\"https:\\\/\\\/x.com\\\/GroupeReussite\",\"https:\\\/\\\/www.youtube.com\\\/c\\\/GroupeReussite\",\"https:\\\/\\\/www.instagram.com\\\/groupe_reussite_officiel\\\/\",\"https:\\\/\\\/fr.linkedin.com\\\/company\\\/groupe-reussite\",\"https:\\\/\\\/www.tiktok.com\\\/@groupereussite\",\"https:\\\/\\\/fr.pinterest.com\\\/GroupeReussite\\\/\",\"https:\\\/\\\/www.reddit.com\\\/user\\\/Groupe-Reussite\\\/\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Fonction exponentielle en 1\u00e8re : exercices corrig\u00e9s gratuits","description":"Retrouvez des exercices corrig\u00e9s gratuits sur la fonction exponentielle en premi\u00e8re : expression de la fonction exponentielle, \u00e9quation...","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/","og_locale":"fr_FR","og_type":"article","og_title":"Fonction exponentielle en 1\u00e8re : exercices corrig\u00e9s gratuits","og_description":"Retrouvez des exercices corrig\u00e9s gratuits sur la fonction exponentielle en premi\u00e8re : expression de la fonction exponentielle, \u00e9quation...","og_url":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/","og_site_name":"Groupe R\u00e9ussite","article_publisher":"https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/","article_modified_time":"2021-01-18T10:21:51+00:00","og_image":[{"url":"https:\/\/groupe-reussite.fr\/wp-content\/uploads\/2021\/01\/fonction-exponentielle.png","type":"","width":"","height":""}],"twitter_card":"summary_large_image","twitter_site":"@GroupeReussite","twitter_misc":{"Dur\u00e9e de lecture estim\u00e9e":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/","url":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/","name":"Fonction exponentielle en 1\u00e8re : exercices corrig\u00e9s gratuits","isPartOf":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/#website"},"primaryImageOfPage":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/#primaryimage"},"image":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/#primaryimage"},"thumbnailUrl":"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2021\/01\/fonction-exponentielle.png","datePublished":"2021-01-18T10:16:24+00:00","dateModified":"2021-01-18T10:21:51+00:00","description":"Retrouvez des exercices corrig\u00e9s gratuits sur la fonction exponentielle en premi\u00e8re : expression de la fonction exponentielle, \u00e9quation...","breadcrumb":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/"]}]},{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/#primaryimage","url":"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2021\/01\/fonction-exponentielle.png","contentUrl":"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2021\/01\/fonction-exponentielle.png","width":265,"height":160,"caption":"fonction exponentielle 1\u00e8re"},{"@type":"BreadcrumbList","@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fonction-exponentielle-premiere\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Accueil","item":"https:\/\/groupe-reussite.fr\/ressources\/"},{"@type":"ListItem","position":2,"name":"Exercices sur la fonction exponentielle en premi\u00e8re"}]},{"@type":"WebSite","@id":"https:\/\/groupe-reussite.fr\/ressources\/#website","url":"https:\/\/groupe-reussite.fr\/ressources\/","name":"Groupe R\u00e9ussite - Cours particuliers et stages de vacances","description":"Stage et Cours particuliers maths, fran\u00e7ais, anglais, informatique, physique chimie","publisher":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/groupe-reussite.fr\/ressources\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"},{"@type":"Organization","@id":"https:\/\/groupe-reussite.fr\/ressources\/#organization","name":"Groupe R\u00e9ussite - Cours particuliers et stages de vacances","url":"https:\/\/groupe-reussite.fr\/ressources\/","logo":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/groupe-reussite.fr\/ressources\/#\/schema\/logo\/image\/","url":"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png","contentUrl":"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png","width":170,"height":180,"caption":"Groupe R\u00e9ussite - Cours particuliers et stages de vacances"},"image":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/","https:\/\/x.com\/GroupeReussite","https:\/\/www.youtube.com\/c\/GroupeReussite","https:\/\/www.instagram.com\/groupe_reussite_officiel\/","https:\/\/fr.linkedin.com\/company\/groupe-reussite","https:\/\/www.tiktok.com\/@groupereussite","https:\/\/fr.pinterest.com\/GroupeReussite\/","https:\/\/www.reddit.com\/user\/Groupe-Reussite\/"]}]}},"_links":{"self":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/pages\/87805","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/comments?post=87805"}],"version-history":[{"count":0,"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/pages\/87805\/revisions"}],"wp:attachment":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/media?parent=87805"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}