Représentations graphiques de quelques fonctions avec Tikz & pgfplots
📅 March 16, 2024 | 👁️ Views: 759

\documentclass[a4paper,12pt]{article}
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\usepackage{fontspec}
\usepackage{amsmath,amsfonts,amssymb}
\usepackage{mathrsfs}
\usepackage{xcolor}
\usepackage{tikz,pgfplots}
\usepackage{listings}
\pgfplotsset{compat=1.18}
%colorbox
\usepackage{varioref}
\usepackage{tcolorbox}
\tcbuselibrary{skins}
\tcbuselibrary{breakable}
\usepackage{hyperref}
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linkcolor=blue
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\newcommand{\mylink}{\href{https://mosaid.xyz/cc}{www.mosaid.xyz}}
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\begin{document}
\pagestyle{empty}
\begin{center}
\vspace*{1cm}
{\Huge Représentations graphiques de quelques fonctions avec Tikz \& pgfplots}\\[0.3cm]
{\Huge Prof: MOSAID. \mylink}\\[1cm]
\begin{lstlisting}
\usepackage{xcolor}
\usepackage{tikz,pgfplots}
\pgfplotsset{compat=1.18}
\end{lstlisting}\\[1cm]
%================================================================
\begin{mybox}{\text{La fonction} \quad$ f(x)=x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-5, ymax=5,
xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
grid=both
]
\addplot[domain=-5:5,smooth,red,thick] {x};
\node[right] at (axis cs: 1.5,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-5, ymax=5,
xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
grid=both
]
\addplot[domain=-5:5,smooth,red,thick] {x};
\node[right] at (axis cs: 1.5,1) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=|x|$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=0, ymax=5,
xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
ytick={0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-5:5,smooth,red,thick] {abs(x)};
\node[right] at (axis cs: 2,3) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-1, ymax=5,
xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
ytick={0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-5:5,smooth,red,thick] {abs(x)};
\node[right] at (axis cs: 2,3) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $ f(x)=\ln(x) $\hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-4, xmax=5,
ymin=-2, ymax=2,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-2,-1,0,1,2},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=0.01:5,smooth,red,thick] {ln(x)};
\node[right] at (axis cs: 1.5,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-4, xmax=5,
ymin=-2, ymax=2,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-2,-1,0,1,2},
xlabel style={below right},
ylabel style={above left},
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\addplot[domain=0.01:5,smooth,red,thick] {ln(x)};
\node[right] at (axis cs: 1.5,1) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=e^x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=0, ymax=8,
xtick={-2,-1,0,1,2},
ytick={0,1,2,3,4,5,6,7,8},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {exp(x)};
\node[right] at (axis cs: 1,5) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=0, ymax=8,
xtick={-2,-1,0,1,2},
ytick={0,1,2,3,4,5,6,7,8},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {exp(x)};
\node[right] at (axis cs: 1,5) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=e^{-x}$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-3, xmax=3,
ymin=0, ymax=3,
xtick={-3,-2,-1,0,1,2,3},
ytick={0,1,2,3},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-3:3,smooth,red,thick] {exp(-x)};
\node[right] at (axis cs: 2,2) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-3, xmax=3,
ymin=0, ymax=3,
xtick={-3,-2,-1,0,1,2,3},
ytick={0,1,2,3},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-3:3,smooth,red,thick] {exp(-x)};
\node[right] at (axis cs: 2,2) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\sin x $\hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-4, xmax=5,
ymin=-2, ymax=2,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-2,-1,0,1,2},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2*pi:2*pi,smooth,red,thick] {sin(deg(x))};
\node[right] at (axis cs: 3,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
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ymin=-2, ymax=2,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
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\addplot[domain=-2*pi:2*pi,smooth,red,thick] {sin(deg(x))};
\node[right] at (axis cs: 3,1) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad$ f(x)=\cos x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-2*pi, xmax=2*pi,
ymin=-1.5, ymax=1.5,
xtick={-2*pi,-1.5*pi,...,2*pi},
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$-\frac{3}{2}\pi$,$-\pi$,$-\frac{1}{2}\pi$,
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\addplot[domain=-2*pi:2*pi,smooth,red,thick] {cos(deg(x))};
\node[right] at (axis cs: 3,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
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%================ tikz code begins
\begin{tikzpicture}[remember picture,overlay]
\begin{scope}[yshift=-5cm]
\begin{axis}[
axis lines=middle,
xmin=-2*pi, xmax=2*pi,
ymin=-1.5, ymax=1.5,
xtick={-2*pi,-1.5*pi,...,2*pi},
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xlabel style={at={(current axis.right of origin)},anchor=north west},
ylabel style={at={(current axis.above origin) },anchor=south east},
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\addplot[domain=-2*pi:2*pi,smooth,red,thick] {cos(deg(x))};
\node[right] at (axis cs: 3,1) {$C_f$};
\end{axis}
\end{scope}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=x^2$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=-1, ymax=4,
xtick={-2,-1,0,1,2},
ytick={-1,0,1,2,3,4},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {x^2};
\node[right] at (axis cs: 1,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
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ymin=-1, ymax=4,
xtick={-2,-1,0,1,2},
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xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {x^2};
\node[right] at (axis cs: 1,1) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad$ f(x)=\sqrt x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.60\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=0, xmax=4,
ymin=0, ymax=3,
xtick={0,1,2,3,4},
ytick={0,1,2,3},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=0:4,smooth,red,thick] {sqrt(x)};
\node[right] at (axis cs: 3,1.5) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.38\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
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\addplot[domain=0:4,smooth,red,thick] {sqrt(x)};
\node[right] at (axis cs: 3,1.5) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad$ f(x)=x^3$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
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axis lines=middle,
xmin=-2, xmax=2,
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xtick={-2,-1,0,1,2},
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xlabel style={below right},
ylabel style={above left},
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\addplot[domain=-2:2,smooth,red,thick] {x^3};
\node[right] at (axis cs: 1,1) {$C_f$};
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%================ latex code ends
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%================ tikz code begins
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\addplot[domain=-2:2,smooth,red,thick] {x^3};
\node[right] at (axis cs: 1,1) {$C_f$};
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%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\sqrt[3]x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
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ylabel style={above left},
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\addplot[domain=-2:2,smooth,red,thick] {x^(1/3)};
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%================ latex code ends
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%================ tikz code begins
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%================ tikz code ends
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\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\cosh x $\hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
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\addplot[domain=-2:2,smooth,red,thick] {cosh(x)};
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%================ latex code ends
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%================ tikz code ends
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\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\sinh x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
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ylabel style={above left},
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\addplot[domain=-3:3,smooth,red,thick] {sinh(x)};
\node[right] at (axis cs: 2,5) {$C_f$};
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\end{lstlisting}
%================ latex code ends
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%================ tikz code begins
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xtick={-3,-2,-1,0,1,2,3},
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\addplot[domain=-3:3,smooth,red,thick] {sinh(x)};
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%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\tanh x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
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axis lines=middle,
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\addplot[domain=-5:5,smooth,red,thick] {tanh(x)};
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%================ latex code ends
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%================ tikz code begins
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\addplot[domain=-5:5,smooth,red,thick] {tanh(x)};
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%================ tikz code ends
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\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\arctan x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
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\begin{axis}[
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xmin=-3, xmax=3,
ymin=-pi/2, ymax=pi/2,
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]
\addplot[domain=-3:3,smooth,red,thick] {rad(atan(x))};
\node[right] at (axis cs: 2,0.7) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-3, xmax=3,
ymin=-pi/2, ymax=pi/2,
xtick={-3,-2,-1,0,1,2,3},
ytick={-1.57, -0.785, 0, 0.785, 1.57},
yticklabels={$-\frac{\pi}{2}$,
$-\frac{\pi}{4}$, $0$,
$\frac{\pi}{4}$, $\frac{\pi}{2}$},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-3:3,smooth,red,thick] {rad(atan(x))};
\node[right] at (axis cs: 2,0.7) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{Repère Cartésien} \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-5, ymax=5,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-4,-3,-2,-1,0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
]
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-5, ymax=5,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-4,-3,-2,-1,0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
]
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
\end{center}
\end{document}
\documentclass[a4paper,12pt]{article}
\usepackage[left=0.50cm, right=0.50cm, top=0.5cm, bottom=1.3cm]{geometry}
\usepackage{fontspec}
\usepackage{amsmath,amsfonts,amssymb}
\usepackage{mathrsfs}
\usepackage{xcolor}
\usepackage{tikz,pgfplots}
\usepackage{listings}
\pgfplotsset{compat=1.18}
%colorbox
\usepackage{varioref}
\usepackage{tcolorbox}
\tcbuselibrary{skins}
\tcbuselibrary{breakable}
\usepackage{hyperref}
\hypersetup{
colorlinks=true,
linkcolor=blue
}
\definecolor{cc}{rgb}{236,0,140}
\newcommand{\mylink}{\href{https://mosaid.xyz/cc}{www.mosaid.xyz}}
% Color definitions
\definecolor{codeblue}{RGB}{0,0,255}
\definecolor{codegreen}{RGB}{0,128,0}
\definecolor{codered}{RGB}{255,0,0}
\definecolor{codepurple}{RGB}{128,0,128}
\definecolor{codeorange}{RGB}{255,165,0}
% Listing style
\lstset{
language=[LaTeX]TeX,
basicstyle=\ttfamily,
keywordstyle=\color{codeblue}\bfseries,
commentstyle=\color{codegreen},
stringstyle=\color{codered},
morekeywords={tikzpicture,axis,draw,node,fill,rectangle,coordinate,foreach,addplot,begin,end,scope},
keywordstyle={[2]\color{codepurple}\bfseries},
keywordstyle={[3]\color{codeorange}\bfseries},
}
%color boxes defintions
\newtcolorbox{mybox}[1]{%
boxed title style={width=0.98\textwidth},
coltitle=black,colbacktitle=blue!15!white,enhanced,
fonttitle=\large\bfseries,
title={\parbox{0.98\textwidth}{#1}},
left=0mm,right=0mm,after skip=2mm, before skip=2mm,top=0mm,bottom=0mm,
colframe=blue!75!black,
colback=yellow!15!white,
before upper={\everymath{\displaystyle}}
}
\begin{document}
\pagestyle{empty}
\begin{center}
\vspace*{1cm}
{\Huge Représentations graphiques de quelques fonctions avec Tikz \& pgfplots}\\[0.3cm]
{\Huge Prof: MOSAID. \mylink}\\[1cm]
\begin{lstlisting}
\usepackage{xcolor}
\usepackage{tikz,pgfplots}
\pgfplotsset{compat=1.18}
\end{lstlisting}\\[1cm]
%================================================================
\begin{mybox}{\text{La fonction} \quad$ f(x)=x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-5, ymax=5,
xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
grid=both
]
\addplot[domain=-5:5,smooth,red,thick] {x};
\node[right] at (axis cs: 1.5,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-5, ymax=5,
xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
grid=both
]
\addplot[domain=-5:5,smooth,red,thick] {x};
\node[right] at (axis cs: 1.5,1) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=|x|$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=0, ymax=5,
xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
ytick={0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-5:5,smooth,red,thick] {abs(x)};
\node[right] at (axis cs: 2,3) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-1, ymax=5,
xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
ytick={0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-5:5,smooth,red,thick] {abs(x)};
\node[right] at (axis cs: 2,3) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $ f(x)=\ln(x) $\hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-4, xmax=5,
ymin=-2, ymax=2,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-2,-1,0,1,2},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=0.01:5,smooth,red,thick] {ln(x)};
\node[right] at (axis cs: 1.5,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-4, xmax=5,
ymin=-2, ymax=2,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-2,-1,0,1,2},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=0.01:5,smooth,red,thick] {ln(x)};
\node[right] at (axis cs: 1.5,1) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=e^x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=0, ymax=8,
xtick={-2,-1,0,1,2},
ytick={0,1,2,3,4,5,6,7,8},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {exp(x)};
\node[right] at (axis cs: 1,5) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=0, ymax=8,
xtick={-2,-1,0,1,2},
ytick={0,1,2,3,4,5,6,7,8},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {exp(x)};
\node[right] at (axis cs: 1,5) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=e^{-x}$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-3, xmax=3,
ymin=0, ymax=3,
xtick={-3,-2,-1,0,1,2,3},
ytick={0,1,2,3},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-3:3,smooth,red,thick] {exp(-x)};
\node[right] at (axis cs: 2,2) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-3, xmax=3,
ymin=0, ymax=3,
xtick={-3,-2,-1,0,1,2,3},
ytick={0,1,2,3},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-3:3,smooth,red,thick] {exp(-x)};
\node[right] at (axis cs: 2,2) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\sin x $\hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-4, xmax=5,
ymin=-2, ymax=2,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-2,-1,0,1,2},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2*pi:2*pi,smooth,red,thick] {sin(deg(x))};
\node[right] at (axis cs: 3,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-4, xmax=5,
ymin=-2, ymax=2,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-1,0,1,2},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2*pi:2*pi,smooth,red,thick] {sin(deg(x))};
\node[right] at (axis cs: 3,1) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad$ f(x)=\cos x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-2*pi, xmax=2*pi,
ymin=-1.5, ymax=1.5,
xtick={-2*pi,-1.5*pi,...,2*pi},
xticklabels={$-2\pi$,
$-\frac{3}{2}\pi$,$-\pi$,$-\frac{1}{2}\pi$,
$0$,$\frac{1}{2}\pi$,$\pi$,$\frac{3}{2}\pi$,$2\pi$},
ytick={-1,-0.5,0,0.5,1},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2*pi:2*pi,smooth,red,thick] {cos(deg(x))};
\node[right] at (axis cs: 3,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[remember picture,overlay]
\begin{scope}[yshift=-5cm]
\begin{axis}[
axis lines=middle,
xmin=-2*pi, xmax=2*pi,
ymin=-1.5, ymax=1.5,
xtick={-2*pi,-1.5*pi,...,2*pi},
xticklabels={$-2\pi$,
$\frac{-3\pi}{2}$,$-\pi$,$\frac{-\pi}{2}$,
$0$,$\frac{\pi}{2}$,$\pi$,$\frac{3\pi}{2}\pi$,$2\pi$},
ytick={-1,0,0.5,1},
xlabel style={at={(current axis.right of origin)},anchor=north west},
ylabel style={at={(current axis.above origin) },anchor=south east},
]
\addplot[domain=-2*pi:2*pi,smooth,red,thick] {cos(deg(x))};
\node[right] at (axis cs: 3,1) {$C_f$};
\end{axis}
\end{scope}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=x^2$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=-1, ymax=4,
xtick={-2,-1,0,1,2},
ytick={-1,0,1,2,3,4},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {x^2};
\node[right] at (axis cs: 1,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=-1, ymax=4,
xtick={-2,-1,0,1,2},
ytick={-1,0,1,2,3,4},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {x^2};
\node[right] at (axis cs: 1,1) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad$ f(x)=\sqrt x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.60\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=0, xmax=4,
ymin=0, ymax=3,
xtick={0,1,2,3,4},
ytick={0,1,2,3},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=0:4,smooth,red,thick] {sqrt(x)};
\node[right] at (axis cs: 3,1.5) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.38\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=0, xmax=4,
ymin=0, ymax=3,
xtick={0,1,2,3,4},
ytick={0,1,2,3},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=0:4,smooth,red,thick] {sqrt(x)};
\node[right] at (axis cs: 3,1.5) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad$ f(x)=x^3$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=-8, ymax=8,
xtick={-2,-1,0,1,2},
ytick={-8,-6,-4,-2,0,2,4,6,8},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {x^3};
\node[right] at (axis cs: 1,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=-8, ymax=8,
xtick={-2,-1,0,1,2},
ytick={-8,-6,-4,-2,0,2,4,6,8},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {x^3};
\node[right] at (axis cs: 1,1) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\sqrt[3]x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=-2, ymax=2,
xtick={-2,-1,0,1,2},
ytick={-2,-1,0,1,2},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {x^(1/3)};
\node[right] at (axis cs: 1,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=-2, ymax=2,
xtick={-2,-1,0,1,2},
ytick={-2,-1,0,1,2},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=0:2,smooth,red,thick] {x^(1/3)};
\node[right] at (axis cs: 1,1) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\cosh x $\hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=1, ymax=4,
xtick={-2,-1,0,1,2},
ytick={1,2,3,4},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {cosh(x)};
\node[right] at (axis cs: 1,3) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-2, xmax=2,
ymin=1, ymax=4,
xtick={-2,-1,0,1,2},
ytick={1,2,3,4},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2:2,smooth,red,thick] {cosh(x)};
\node[right] at (axis cs: 1,3) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\sinh x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-3, xmax=3,
ymin=-10, ymax=10,
xtick={-3,-2,-1,0,1,2,3},
ytick={-10,-8,-6,-4,-2,0,2,4,6,8,10},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-3:3,smooth,red,thick] {sinh(x)};
\node[right] at (axis cs: 2,5) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-3, xmax=3,
ymin=-10, ymax=10,
xtick={-3,-2,-1,0,1,2,3},
ytick={-10,-8,-6,-4,-2,0,2,4,6,8,10},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-3:3,smooth,red,thick] {sinh(x)};
\node[right] at (axis cs: 2,5) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\tanh x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-1, ymax=1,
xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-1,-0.5,0,0.5,1},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-5:5,smooth,red,thick] {tanh(x)};
\node[right] at (axis cs: 2,0.5) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-1, ymax=1,
xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-1,-0.5,0,0.5,1},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-5:5,smooth,red,thick] {tanh(x)};
\node[right] at (axis cs: 2,0.5) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\arctan x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-3, xmax=3,
ymin=-pi/2, ymax=pi/2,
xtick={-3,-2,-1,0,1,2,3},
ytick={-1.57, -0.785, 0, 0.785, 1.57},
yticklabels={$-\frac{\pi}{2}$,
$-\frac{\pi}{4}$, $0$,
$\frac{\pi}{4}$, $\frac{\pi}{2}$},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-3:3,smooth,red,thick] {rad(atan(x))};
\node[right] at (axis cs: 2,0.7) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-3, xmax=3,
ymin=-pi/2, ymax=pi/2,
xtick={-3,-2,-1,0,1,2,3},
ytick={-1.57, -0.785, 0, 0.785, 1.57},
yticklabels={$-\frac{\pi}{2}$,
$-\frac{\pi}{4}$, $0$,
$\frac{\pi}{4}$, $\frac{\pi}{2}$},
xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-3:3,smooth,red,thick] {rad(atan(x))};
\node[right] at (axis cs: 2,0.7) {$C_f$};
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{Repère Cartésien} \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-5, ymax=5,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-4,-3,-2,-1,0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
]
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-5, xmax=5,
ymin=-5, ymax=5,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-4,-3,-2,-1,0,1,2,3,4,5},
xlabel style={below right},
ylabel style={above left},
]
\end{axis}
\end{tikzpicture}
%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
\end{center}
\end{document}
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📥 Download Représentations graphiques de quelques fonctions avec Tikz & pgfplots (PDF)