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