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\begin{tikzpicture} + \begin{axis}[ + axis lines = center, + grid= both, + xlabel = {$x$}, + xtick distance=1, + ylabel = {$f(x)$}, + ytick distance=1, + ymin = -2, + ] + \addplot[domain=0:4,samples=20, color=red, very thick]{(x-3)^2-1}; + \addplot[mark=*, very thick, only marks] coordinates {(1,3) (3,-1)}; + \end{axis} + \end{tikzpicture} + \end{minipage} + \end{definition} + + \afaire{Lire graphiquement les nombres dérivés en $x = 1$ et $x = 3$} +} + \begin{document} -\maketitle - -\setcounter{section}{2} -\section{Nombre dérivé} - -\begin{definition}[Nombre dérivé] - \begin{minipage}{0.5\linewidth} - Le nombre dérivé est le coefficient directeur de la tangente en un point. - - \bigskip - - Le nombre dérivé à la fonction $f$ au point $x$ est noté - \[ - f'(x) - \] - -\end{minipage} - \hfill - \begin{minipage}{0.45\linewidth} - \begin{tikzpicture} - \begin{axis}[ - axis lines = center, - grid= both, - xlabel = {$x$}, - xtick distance=1, - ylabel = {$f(x)$}, - ytick distance=1, - ymin = -2, - ] - \addplot[domain=0:4,samples=20, color=red, very thick]{(x-3)^2-1}; - \addplot[mark=*, very thick, only marks] coordinates {(1,3) (3,-1)}; - \end{axis} - \end{tikzpicture} - \end{minipage} -\end{definition} - -\afaire{Calculer les nombres dérivé en $x = 1$ et $x = 3$} +\cours +\vfill +\cours +\vfill \end{document}