2019-2020/TES/Continuite_convexite/Etude_Graphique/3E_derivees.tex

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\documentclass[a4paper,10pt, twocolumn, landscape]{article}
\usepackage{myXsim}
\title{Autour de la notion de continuité}
\tribe{Terminale ES}
\date{Septembre 2019}
\pagestyle{empty}
\begin{document}
\begin{exercise}[subtitle={Dérivée de qui?}]
Retrouver quel graphique peut correspondre au graphique de la dérivée d'une des fonctions représentées.
\noindent
\begin{minipage}{0.22\textwidth}
\begin{tikzpicture}[baseline=(a.north), xscale=0.5, yscale=0.6]
\tkzInit[xmin=-6,xmax=6,xstep=1,
ymin=-3,ymax=3,ystep=1]
\tkzGrid
\tkzAxeXY
\tkzFct[domain = -6:6,color=red,very thick]%
{x*(x+2)*(x-1)*(x-4)/10}
\end{tikzpicture}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}{0.22\textwidth}
\begin{tikzpicture}[baseline=(a.north), xscale=0.5, yscale=0.6]
\tkzInit[xmin=-6,xmax=6,xstep=1,
ymin=-3,ymax=3,ystep=1]
\tkzGrid
\tkzAxeXY
\tkzFct[domain = -6:6,color=red,very thick]%
{0.1*(12*x**2-18*x-12)}
\end{tikzpicture}
\end{minipage}
\vfill
\noindent
\begin{minipage}{0.22\textwidth}
\begin{tikzpicture}[baseline=(a.north), xscale=0.5, yscale=0.6]
\tkzInit[xmin=-6,xmax=6,xstep=1,
ymin=-3,ymax=3,ystep=1]
\tkzGrid
\tkzAxeXY
\tkzFct[domain = -6:6,color=red,very thick]%
{(x+5)*(x+2)*(x-1)*(x-2)/25}
\end{tikzpicture}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}{0.22\textwidth}
\begin{tikzpicture}[baseline=(a.north), xscale=0.5, yscale=0.6]
\tkzInit[xmin=-6,xmax=6,xstep=1,
ymin=-3,ymax=3,ystep=1]
\tkzGrid
\tkzAxeXY
\tkzFct[domain = -6:6,color=red,very thick]%
{(4*x**3+12*x**2-18*x-16)/25}
\end{tikzpicture}
\end{minipage}
\vfill
\noindent
\begin{minipage}{0.22\textwidth}
\begin{tikzpicture}[baseline=(a.north), xscale=0.5, yscale=0.6]
\tkzInit[xmin=-6,xmax=6,xstep=1,
ymin=-3,ymax=3,ystep=1]
\tkzGrid
\tkzAxeXY
\tkzFct[domain = -6:6,color=red,very thick]%
{(12*x**2+24*x-18)/25}
\end{tikzpicture}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}{0.22\textwidth}
\begin{tikzpicture}[baseline=(a.north), xscale=0.5, yscale=0.6]
\tkzInit[xmin=-6,xmax=6,xstep=1,
ymin=-3,ymax=3,ystep=1]
\tkzGrid
\tkzAxeXY
\tkzFct[domain = -6:6,color=red,very thick]%
{0.1*(4*x**3 - 9*x**2 - 12*x + 8)}
\end{tikzpicture}
\end{minipage}
\end{exercise}
\printexercise{exercise}{1}
\end{document}