141 lines
4.5 KiB
TeX
141 lines
4.5 KiB
TeX
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\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\title{Nombre dérivé}
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\tribe{1ST}
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\date{Janvier 2020}
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\pagestyle{empty}
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%\geometry{left=15mm,right=15mm, bottom=8mm, top=5mm}
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\begin{document}
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\begin{exercise}[subtitle={Graphique}]
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Pour chacun des graphiques ci-dessous compléter les tableaux pour trouver les nombres dérivés.
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\begin{enumerate}
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\item ~
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\begin{minipage}{0.4\textwidth}
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\begin{tikzpicture}[yscale=.45, xscale=1]
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\tkzInit[xmin=-3,xmax=3,xstep=1,
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ymin=-5,ymax=5,ystep=1]
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\tkzGrid
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\tkzAxeXY[up space=0.5,right space=.5]
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\tkzFct[domain = -3:3, line width=1pt]{-x**2}
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\end{tikzpicture}
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\end{minipage}
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\hfill
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\begin{minipage}{0.5\textwidth}
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\begin{tabular}{|m{2cm}|c|}
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\hline
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x & Nombre dérivé $f'(x)$\\
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\hline
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-2 & \\
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\hline
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-1 & \\
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\hline
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0 & \\
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\hline
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1 & \\
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\hline
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2 & \\
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\hline
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\end{tabular}
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\end{minipage}
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\item ~
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\begin{minipage}{0.4\textwidth}
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\begin{tikzpicture}[yscale=.35, xscale=1]
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\tkzInit[xmin=-3,xmax=3,xstep=1,
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ymin=-7,ymax=7,ystep=1]
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\tkzGrid
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\tkzAxeXY[up space=0.5,right space=.5]
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\tkzFct[domain = -3:3, line width=1pt]{0.5*x**2 - 2}
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\end{tikzpicture}
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\end{minipage}
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\hfill
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\begin{minipage}{0.5\textwidth}
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\begin{tabular}{|m{2cm}|c|}
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\hline
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x & Nombre dérivé $f'(x)$\\
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\hline
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-2 & \\
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\hline
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-1 & \\
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\hline
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0 & \\
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\hline
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1 & \\
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\hline
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2 & \\
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\hline
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\end{tabular}
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\end{minipage}
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\item Pour les deux fonctions précédentes, à partir des valeurs déjà trouvées, ne pourrait-on pas trouver une formule qui pourrait calculer tous les nombres dérivés de ces fonctions? \\ Combien vaudrait dans chacun des cas $f'(10)$? $f'(0,5)$?
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\item ~
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\begin{minipage}{0.4\textwidth}
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\begin{tikzpicture}[yscale=.45, xscale=1]
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\tkzInit[xmin=-3,xmax=3,xstep=1,
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ymin=-5,ymax=5,ystep=1]
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\tkzGrid
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\tkzAxeXY[up space=0.5,right space=.5]
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\tkzFct[domain = -3:3, line width=1pt]{2*x+1}
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\end{tikzpicture}
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\end{minipage}
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\hfill
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\begin{minipage}{0.5\textwidth}
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\begin{tabular}{|m{2cm}|c|}
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\hline
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x & Nombre dérivé $f'(x)$\\
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\hline
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-2 & \\
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\hline
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-1 & \\
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\hline
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0 & \\
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\hline
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1 & \\
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\hline
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2 & \\
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\hline
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\end{tabular}
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\end{minipage}
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\item ~
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\begin{minipage}{0.4\textwidth}
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\begin{tikzpicture}[yscale=.35, xscale=1]
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\tkzInit[xmin=-3,xmax=3,xstep=1,
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ymin=-7,ymax=7,ystep=1]
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\tkzGrid
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\tkzAxeXY[up space=0.5,right space=.5]
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\tkzFct[domain = -3:3, line width=1pt]{4}
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\end{tikzpicture}
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\end{minipage}
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\hfill
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\begin{minipage}{0.5\textwidth}
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\begin{tabular}{|m{2cm}|c|}
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\hline
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x & Nombre dérivé $f'(x)$\\
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\hline
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-2 & \\
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\hline
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-1 & \\
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\hline
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0 & \\
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\hline
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1 & \\
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\hline
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2 & \\
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\hline
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\end{tabular}
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\end{minipage}
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\end{enumerate}
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\end{exercise}
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\end{document}
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