87 lines
1.8 KiB
TeX
87 lines
1.8 KiB
TeX
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\documentclass[12pt]{classPres}
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\usepackage{tkz-fct}
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\author{}
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\title{}
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\date{}
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\begin{document}
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\begin{frame}{Questions flashs}
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\begin{center}
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\vfill
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Terminale Maths complémentaires
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\vfill
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30 secondes par calcul
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\vfill
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\tiny \jobname
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\end{center}
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\end{frame}
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\begin{frame}{Calcul 1}
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Calculer la quantité suivante
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\[
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\int_0^{10} 3x^2 + 4x - 1 \; dx =
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\]
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Tableau des primitives
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\begin{center}
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\begin{tabular}{|m{4cm}|m{4cm}|}
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\hline
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\rowcolor{highlightbg}
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Fonction $f$ & Primitives $F$ \\
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\hline
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$a$ & $ax$ \\
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\hline
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$x$ & $\frac{1}{2}x^2$ \\
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\hline
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$x^2$ & $\frac{1}{3}x^3$ \\
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\hline
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$x^3$ & $\frac{1}{4}x^4$\\
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\hline
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$x^n$ & $\frac{1}{n+1}x^{n+1}$\\
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\hline
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$\frac{1}{x^2}$ & $\frac{-1}{x}$\\
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\hline
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\end{tabular}
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\end{center}
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\end{frame}
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\begin{frame}{Calcul 2}
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Dériver la fonction suivante
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\[
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f(x) = (5x - 1)e^{x} =
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\]
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\end{frame}
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\begin{frame}{Calcul 3}
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Tracer le tableau de signe de
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\[
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f(x) = (-x + 1) e^{-2x}
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\]
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\end{frame}
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\begin{frame}[fragile]{Calcul 4}
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Déterminer la quantité suivante
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\[
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\lim_{x \rightarrow +\infty} -2x^2 + 4x + 1 =
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\]
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\begin{center}
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\begin{tikzpicture}[xscale=0.8, yscale=0.5]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=5,ystep=1]
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\tkzGrid
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\tkzAxeXY
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\tkzFct[domain=-5:5,color=red,very thick]%
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{-2*\x**2 + 4*\x + 1};
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\end{tikzpicture}
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\end{center}
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\end{frame}
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\begin{frame}{Fin}
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\begin{center}
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On retourne son papier.
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\end{center}
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\end{frame}
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\end{document}
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