\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}
