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\usepackage{fontspec}
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\usepackage{xcolor}
\usepackage{tikz,pgfplots}
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%colorbox
\usepackage{varioref}
\usepackage{tcolorbox}
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\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}
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xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
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xlabel style={below right},
ylabel style={above left},
grid=both
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\addplot[domain=-5:5,smooth,red,thick] {x};
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%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
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axis lines=middle,
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\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,
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xtick={-5,-4,-3,-2,-1,0,1,2,3,4,5},
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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},
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xlabel style={below right},
ylabel style={above left},
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\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) $\hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-4, xmax=5,
ymin=-2, ymax=2,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
ytick={-2,-1,0,1,2},
xlabel style={below right},
ylabel style={above left},
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\addplot[domain=0.01:5,smooth,red,thick] {ln(x)};
\node[right] at (axis cs: 1.5,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
\begin{axis}[
axis lines=middle,
xmin=-4, xmax=5,
ymin=-2, ymax=2,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
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\node[right] at (axis cs: 1.5,1) {$C_f$};
\end{axis}
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%================ 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}
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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},
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\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},
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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}
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xtick={-3,-2,-1,0,1,2,3},
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ylabel style={above left},
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\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 $\hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
\begin{tikzpicture}
\begin{axis}[
axis lines=middle,
xmin=-4, xmax=5,
ymin=-2, ymax=2,
xtick={-4,-3,-2,-1,0,1,2,3,4,5},
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xlabel style={below right},
ylabel style={above left},
]
\addplot[domain=-2*pi:2*pi,smooth,red,thick] {sin(deg(x))};
\node[right] at (axis cs: 3,1) {$C_f$};
\end{axis}
\end{tikzpicture}
\end{lstlisting}
%================ latex code ends
\end{minipage}\hfill
\begin{minipage}[t]{0.37\textwidth}
%================ tikz code begins
\begin{tikzpicture}[baseline=(current bounding box.north)]
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xtick={-4,-3,-2,-1,0,1,2,3,4,5},
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\node[right] at (axis cs: 3,1) {$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}
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xmin=-2*pi, xmax=2*pi,
ymin=-1.5, ymax=1.5,
xtick={-2*pi,-1.5*pi,...,2*pi},
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%================ latex code ends
\end{minipage}\hfill
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%================ tikz code begins
\begin{tikzpicture}[remember picture,overlay]
\begin{scope}[yshift=-5cm]
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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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%================ 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}
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\addplot[domain=-2:2,smooth,red,thick] {x^2};
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\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,
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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^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}
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\addplot[domain=0:4,smooth,red,thick] {sqrt(x)};
\node[right] at (axis cs: 3,1.5) {$C_f$};
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%================ latex code ends
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\begin{minipage}[t]{0.38\textwidth}
%================ tikz code begins
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axis lines=middle,
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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}
\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},
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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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\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},
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\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}
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xmin=-2, xmax=2,
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xtick={-2,-1,0,1,2},
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ylabel style={above left},
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\addplot[domain=-2:2,smooth,red,thick] {x^(1/3)};
\node[right] at (axis cs: 1,1) {$C_f$};
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%================ latex code ends
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%================ tikz code ends
\end{minipage}\hfill
\end{mybox}
%================================================================
%================================================================
\begin{mybox}{\text{La fonction} \quad $f(x)=\cosh x $\hfill\text{\mylink}}
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%================ latex code begins
\begin{lstlisting}
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\addplot[domain=-2:2,smooth,red,thick] {cosh(x)};
\node[right] at (axis cs: 1,3) {$C_f$};
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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}}
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%================ latex code begins
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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 $f(x)=\tanh x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
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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 $f(x)=\arctan x$ \hfill\text{\mylink}}
\begin{minipage}[t]{0.62\textwidth}
%================ latex code begins
\begin{lstlisting}
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xmin=-3, xmax=3,
ymin=-pi/2, ymax=pi/2,
xtick={-3,-2,-1,0,1,2,3},
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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}
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4 Comments, Latest
SIENOU
11 months agoJe suis un débutant en LaTeX. J'espère apprendre plus sur votre site, particulièrement le package Tikz.
admin Admin Reply
11 months agoSIENOU :
Je suis un débutant en LaTeX. J'espère apprendre plus sur votre site, particulièrement le package Tikz.
AVEC PLAISIR. J'espère que tu trouveras le contenu de mon site utile et t'aider à débuter en latex.
admin Admin
11 months agoIl ya aussi des livres sur latex dans la category Books. Il ya plains de livres que j'ai pas encore trouver le temps pour les ajouter. Stay tuned
SIENOU Reply
11 months agoadmin:
Il ya aussi des livres sur latex dans la category Books. Il ya plains de livres que j'ai pas encore trouver le temps pour les ajouter. Stay tuned
Ok. Merci nombreux. Je vais parcourir la catégorie livre et piocher de la documentation pour bien démarrer ????????.