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@@ Le signe de $\Delta$ va déterminer le nombre de racines du polynôme \end{multicols} \end{exercise} - \begin{exercise}[subtitle={Résolution d'équations et d'inéquations}] Résoudre les équations suivantes \begin{multicols}{3} \begin{enumerate} \item $4x^2 - 5x + 3 > 0$ - \item $5x + 3 > 6x - 3$ - \item $4x^2 - 5x + 3 > 0$ + \item $5x + 3 \geq 6x - 3$ + \item $4x^2 - 5x + 3 < 0$ \end{enumerate} \end{multicols} \end{exercise} diff --git a/PreStSauveur/TESL/Polynomes_derivation/T3_derivation_tangente.pdf b/PreStSauveur/TESL/Polynomes_derivation/T3_derivation_tangente.pdf index 223122ad69499a3b9acb28c5baccbbb4fed34c67..c79e90686e8ab95c650804cab6bc0360f615eb2e 100644 GIT binary patch delta 55678 zcmV(}K+wOcsRPE71dt;GH#IVoK1nEl&00%y+cprs`&Y21O4Aa-;*HGo(!6FeIV84k zNe+soq?$@{V%cr_@B4uSB|?NKiE=y9g&G3fUF`0+FOnBu3SPXr;LJ<>3S7B&xHze0 zardRjFI>L5_;x{fk{47+$%LjtTg!}*#m({}+?V7TS5$Z=j4SSD#pjE6Sg6^5{eFG% zoXZaa2YB55_#+6|DX!(5?r#eGb5T(0ZbFx>&U$teyi^Aja|Yu&PjhpTM^?EMQ|9@n*gX zk!muJiM^|3=@miN}SO;h3l 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-\documentclass[a4paper,10pt]{article} +\documentclass[a5paper,10pt]{article} \usepackage{myXsim} \title{Thème C: Dérivation et équation de la tangente} \tribe{Terminale ES-L} \date{Septembre 2018} -\renewcommand{\arraystretch}{1} - \begin{document} + Dérivées des fonctions usuelles. + \begin{center} + \begin{tabular}{|c|*{2}{p{2cm}|}c|} + \hline + Fonction & Domaine de définition & Domaine de dérivation & fonction dérivée \\ + \hline + Constante $f:x\mapsto k$ & $\R$ & $\R$ & $f':x\mapsto 0$ \\ + \hline + Linéaire $f:x\mapsto ax$ & $\R$ & $\R$ & $f':x\mapsto a$\\ + \hline + Carré $f:x\mapsto x^2$ & $\R$ & $\R$ & $f:x\mapsto 2x$ \\ + \hline + Puissance $f:x\mapsto x^n$ & $\R$ & $\R$ & $f:x\mapsto n\times x^{n-1}$\\ + \hline + \end{tabular} + \end{center} + \begin{exercise}[subtitle={Dérivation et tangente}] Soit $P$, $Q$ et $R$ trois polynômes \[ P(x) = 3x^2 + 2x - 5 \hspace{1cm} Q(x) = -4x^4 + 3x^3 -19 \hspace{1cm} R(x) = (2x - 4)^2 -3x \] \begin{enumerate} \item Calculer les fonctions dérivées des 3 polynômes. \item Calculer les quantités suivantes - \begin{multicols}{4} + \begin{multicols}{2} \begin{enumerate} \item $P(4)$ \item $Q'(3)$ @@ -24,7 +39,7 @@ \end{enumerate} \end{multicols} \item Calculer l'équation de la tangente de - \begin{multicols}{4} + \begin{multicols}{2} \begin{enumerate} \item $R$ en 2 \item $P$ en $d\frac{1}{3}$