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$ax^2$ & $2ax$ \\ + \hline + $ax^3$ & $3ax^2$\\ + \hline + \rowcolor{tabular} + $ax^n$ & $nax^{n-1}$\\ + \hline + \end{tabular} +\end{center} + +(la dernière ligne du tableau est uniquement au programme pour les sti2d) + +\subsection*{Propriété - Opérations sur les dérivées} + +Soit $u$ et $v$ deux fonctions dérivables sur un intervalle $I$ et $k$ un nombre réel alors + +\begin{itemize} + \item La dérivée de $f(x) = u(x) + v(x)$ est $f'(x) = u'(x) + v'(x)$. + \item La dérivée de $f(x) = k \times u(x)$ est $f'(x) = k \times u'(x)$. +\end{itemize} + +(les sti2d vous devez aussi connaître la formule du produit) + +\subsection*{Exemple} + +On veut calculer la fonction dérivée de $f(x) = 2x^2 + 3x + 1$ +\begin{flalign*} + f'(x) &=& +\end{flalign*} + +\afaire{Dériver la fonction} + +\end{document} diff --git a/TST/01_Derivation/index.rst b/TST/01_Derivation/index.rst index 30a7252..7978425 100644 --- a/TST/01_Derivation/index.rst +++ b/TST/01_Derivation/index.rst @@ -43,7 +43,15 @@ Tracer tableaux à partir de graphiques et de formule pure (utilisation de la ca Étape 3: Technique dérivation ============================= -Formule de dérivation et dérivation. +Cours: Formules de dérivations + +.. image:: 2B_formules.pdf + :height: 200px + :alt: Formules de dérivations + +Les élèves arrivent en classe en ayant auparavant écrit le cours sur les formules de dérivation. + +Cette étape est alors assez technique. Il faudra réussir à la dynamiser pour que les élèves ne s'essoufflent pas! Étape 4: Liens signes dérivé et variations fonctions ====================================================