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z$mqaaU7xDa%E7~zOS^4D`&*47<^--7>+6?6WG+1%`vf0v0t99*7A|Hua&j?wak&2j DX3P6@ diff --git a/2nd/09_Fonctions_tableaux/2B_variations.tex b/2nd/09_Fonctions_tableaux/2B_variations.tex index ec088b8..8f286d1 100644 --- a/2nd/09_Fonctions_tableaux/2B_variations.tex +++ b/2nd/09_Fonctions_tableaux/2B_variations.tex @@ -80,12 +80,49 @@ \end{axis} \end{tikzpicture} \end{minipage} - \end{definition} \begin{definition}[Monotone] Une fonction $f$ est dite \textbf{monotone} sur un intervalle $I$ si et seulement si elle ne change pas de variations sur cet intervalle. - \end{definition} +\begin{definition}[ Extremum d'une fonction ] + Soit $f$ une fonction définie sur un intervalle $I$. + + \medskip + + \begin{minipage}{0.5\linewidth} + On dit que $f$ a pour maximum $M$ sur l'intervalle $I$ si et seulement si + \medskip + \\.\dotfill + \medskip + \\.\dotfill + \medskip + + On dit que $f$ a pour minimum $m$ sur l'intervalle $I$ si et seulement si + \medskip + \\.\dotfill + \medskip + \\.\dotfill + \medskip + \end{minipage} + \hfill + \begin{minipage}{0.4\linewidth} + \begin{tikzpicture} + \begin{axis}[ + axis lines = center, + %grid = both, + xlabel = {$x$}, + xtick distance=1, + xticklabel=\empty, + ylabel = {$y$}, + yticklabel=\empty, + legend pos = north west, + ] + \addplot[domain=-0.8:0.8,samples=30, color=red, very thick]{x*(x-1)*(x+1)}; + \end{axis} + \end{tikzpicture} + \end{minipage} + +\end{definition} \end{document}