%
% tkz-euclide (14/01/2011)
%
% Coding (utf8) Creator (TeX) Producer (pdfeTeX) 
% Author Alain Matthes
\input{tkzfctpreamble.ltx}

\begin{document}

\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=12]
  \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} 
