Bertrand Benjamin
087d3df807
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48 lines
1.2 KiB
TeX
48 lines
1.2 KiB
TeX
\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\usepackage{tikz}
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\usepackage{pgfplots}
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\author{Benjamin Bertrand}
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\title{Nombre dérivé et tangente - Cours}
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\date{novembre 2022}
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\pagestyle{empty}
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\begin{document}
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\maketitle
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\setcounter{section}{1}
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\section{Tangente}
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\begin{definition}[Tangente]
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\begin{minipage}{0.5\linewidth}
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\textbf{La tangente} à une courbe en un point est la limite des cordes qui s'approchent du point.
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\bigskip
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Dans la pratique, c'est la \textbf{droite} qui vient se coller le plus possible à la courbe en ce point.
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\end{minipage}
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\hfill
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\begin{minipage}{0.45\linewidth}
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\begin{tikzpicture}
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\begin{axis}[
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axis lines = center,
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grid= both,
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xlabel = {$x$},
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xtick distance=1,
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ylabel = {$f(x)$},
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ytick distance=1,
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ymin = -2,
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]
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\addplot[domain=0:4,samples=20, color=red, very thick]{(x-3)^2-1};
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\addplot[mark=*, very thick, only marks] coordinates {(1,3) (3,-1)};
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\end{axis}
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\end{tikzpicture}
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\end{minipage}
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\end{definition}
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\afaire{Tracer les tangentes aux points}
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\end{document}
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