\documentclass[a5paper,10pt]{article} \usepackage{myXsim} \title{Fonctions dérivée} \tribe{1ST} \date{Janvier 2020} \pagestyle{empty} \setlength{\mathindent}{0cm} \geometry{left=5mm,right=10mm, bottom=8mm, top=5mm} \begin{document} \begin{exercise}[subtitle={Une fonction dérivée?}] \begin{enumerate}[wide] \item $f(x) = 2x^2$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.45, xscale=1] \tkzInit[xmin=-3,xmax=3,xstep=1, ymin=-1,ymax=9,ystep=1] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{2*x**2} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $f'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} f'(x) &=& \end{flalign*} \end{minipage} \vfill \item $g(x) = -4x$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.35, xscale=1] \tkzInit[xmin=-3,xmax=3,xstep=1, ymin=-7,ymax=7,ystep=1] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{-4*x} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $g'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} g'(x) &=& \end{flalign*} \end{minipage} \vfill \item $h(x) = 2x^2-4x+1$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.45, xscale=1] \tkzInit[xmin=-2,xmax=3,xstep=1, ymin=-1,ymax=10,ystep=1] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{2*x**2-4*x+1} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $h'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} h'(x) &=& \end{flalign*} \end{minipage} \end{enumerate} \end{exercise} \clearpage \begin{exercise}[subtitle={Une fonction dérivée?}] \begin{enumerate}[wide] \item $f(x) = -2x^2$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.45, xscale=1] \tkzInit[xmin=-3,xmax=3,xstep=1, ymin=-9,ymax=1,ystep=1] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{-2*x**2} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $f'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} f'(x) &=& \end{flalign*} \end{minipage} \vfill \item $g(x) = 3x$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.35, xscale=1] \tkzInit[xmin=-3,xmax=3,xstep=1, ymin=-7,ymax=7,ystep=1] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{3*x} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $g'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} g'(x) &=& \end{flalign*} \end{minipage} \vfill \item $h(x) = -2x^2+3x+1$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.45, xscale=1] \tkzInit[xmin=-2,xmax=3,xstep=1, ymin=-10,ymax=1,ystep=1] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{-2*x**2+3*x-1} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $h'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} h'(x) &=& \end{flalign*} \end{minipage} \end{enumerate} \end{exercise} \clearpage \begin{exercise}[subtitle={Une fonction dérivée?}] \begin{enumerate}[wide] \item $f(x) = 8x^2$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.45, xscale=1] \tkzInit[xmin=-3,xmax=3,xstep=1, ymin=-1,ymax=20,ystep=2] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{4*x**2} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $f'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} f'(x) &=& \end{flalign*} \end{minipage} \vfill \item $g(x) = -6x$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.35, xscale=1] \tkzInit[xmin=-3,xmax=3,xstep=1, ymin=-14,ymax=14,ystep=2] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{-3*x} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $g'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} g'(x) &=& \end{flalign*} \end{minipage} \vfill \item $h(x) = 8x^2-6x+10$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.45, xscale=1] \tkzInit[xmin=-2,xmax=3,xstep=1, ymin=-1,ymax=20,ystep=2] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{4*x**2-3*x+5} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $h'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} h'(x) &=& \end{flalign*} \end{minipage} \end{enumerate} \end{exercise} \clearpage \begin{exercise}[subtitle={Une fonction dérivée?}] \begin{enumerate}[wide] \item $f(x) = -0.5x^2$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.8, xscale=1] \tkzInit[xmin=-3,xmax=3,xstep=1, ymin=-6,ymax=1,ystep=1] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{-0.5*x**2} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $f'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} f'(x) &=& \end{flalign*} \end{minipage} \vfill \item $g(x) = 2x$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.35, xscale=1] \tkzInit[xmin=-3,xmax=3,xstep=1, ymin=-7,ymax=7,ystep=1] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{2*x} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $g'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} g'(x) &=& \end{flalign*} \end{minipage} \vfill \item $h(x) = -0.5x^2+2x+1$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.45, xscale=1] \tkzInit[xmin=-2,xmax=4,xstep=1, ymin=-8,ymax=2,ystep=1] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:4, line width=1pt]{-0.5*x**2+2*x-1} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $h'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} h'(x) &=& \end{flalign*} \end{minipage} \end{enumerate} \end{exercise} \clearpage \begin{exercise}[subtitle={Une fonction dérivée?}] \begin{enumerate}[wide] \item $f(x) = 50x^2$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.8, xscale=1] \tkzInit[xmin=-3,xmax=3,xstep=1, ymin=-5,ymax=50,ystep=10] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{5*x**2} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $f'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} f'(x) &=& \end{flalign*} \end{minipage} \vfill \item $g(x) = -100x$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.35, xscale=1] \tkzInit[xmin=-3,xmax=3,xstep=1, ymin=-300,ymax=300,ystep=50] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:3, line width=1pt]{-100*x} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $g'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} g'(x) &=& \end{flalign*} \end{minipage} \vfill \item $h(x) = 50x^2-100x+20$ \begin{minipage}{0.6\textwidth} \begin{tikzpicture}[yscale=.45, xscale=1] \tkzInit[xmin=-2,xmax=4,xstep=1, ymin=-40,ymax=200,ystep=20] \tkzGrid \tkzAxeXY[up space=0.5,right space=.5] \tkzFct[domain = -3:4, line width=1pt]{50*x**2-100*x+20} \end{tikzpicture} \end{minipage} \hfill \begin{minipage}{0.4\textwidth} \begin{tabular}{|m{1cm}|c|} \hline x & Nombre dérivé $h'(x)$\\ \hline -2 & \\ \hline -1 & \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular} Fonction dérivée: \begin{flalign*} h'(x) &=& \end{flalign*} \end{minipage} \end{enumerate} \end{exercise} \end{document}