57 lines
1.2 KiB
TeX
57 lines
1.2 KiB
TeX
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\documentclass[12pt,xcolor=table]{classPres}
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\title{Dérivation et tableau de variations}
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\date{Octobre 2019}
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\begin{document}
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\begin{frame}{Dérivation d'un quotient}
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\begin{block}{Dériver un quotient}
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\[
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\left( \frac{u}{v} \right)' = \frac{u'\times v - u\times v'}{v^2}
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\]
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\end{block}
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\pause
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\begin{block}{Tracer le tableau de signe}
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\[
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f(x) = \frac{6x+4}{-2x+6}
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\qquad
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g(x) = \frac{2x^2+3x+10}{3x+2}
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\]
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\end{block}
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\end{frame}
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\begin{frame}{Dérivation d'une fonction composée $u^n$}
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\begin{block}{Dérivation avec une puissance}
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Soit $u$ une fonction dérivable sur $I$ et $n$ un entier.
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\[
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(u^n)' = n\times u' \times u^{n-1}
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\]
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\end{block}
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\pause
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\begin{block}{Tracer le tableau de signe}
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\[
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f(x) = (3x+2)^5
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\qquad
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g(x) = (x^2-5x)^3
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\]
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\end{block}
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\pause
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\begin{block}{Dériver}
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\[
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f(x) = \cos^2(x)
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\qquad
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g(x) = \sin^3(x)
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\]
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\end{block}
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\end{frame}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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