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\input{preamble-standalone.ltx}
\begin{document}
% Ex. No. 23 (Section 7.7 : Demi-tangentes Courbe de Lorentz )
\begin{tikzpicture}[scale=1.25]
\tkzInit[xmax=1,ymax=1,xstep=0.1,ystep=0.1]
\tkzGrid(0,0)(1,1)
\tkzAxeXY
\tkzFct[color = red,thick, domain =0:1]{(exp(\x)-1)/(exp(1)-1)}
\tkzSetUpPoint[size=6]
\tkzDrawTangentLine[draw, kl = 0, kr = 0.4](0)
\tkzDrawTangentLine[draw, kl = 0.4,kr = 0 ](1)
\tkzText[draw,color = red,fill = orange!20](0.5,0.6)%
{$f(x)=\dfrac{\text{e}^x-1}{\text{e}-1}$}
\end{tikzpicture}
\end{document}
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