% !TeX TXS-program:compile = txs:///pdflatex

\documentclass[margin=5mm]{standalone}
\usepackage{ProfLycee}

\begin{document}

\begin{tikzpicture}[x=1.7cm,y=1.7cm,xmin=-3.5,xmax=3.15,xgrille=0.5,xgrilles=0.5,ymin=-2.15,ymax=3.15,ygrille=0.5,ygrilles=0.5]
	\GrilleTikz[Affs=false] \AxesTikz[ElargirOx=0/0,ElargirOy=0/0]
	\AxexTikz[Police=\footnotesize,AffOrigine=false]{-3.5,-3,...,3} 
	\AxeyTikz[Police=\footnotesize,AffOrigine=false]{-2,-1.5,...,2.5}
	\OrigineTikz[Police=\footnotesize]
	\clip (\xmin,\ymin) rectangle (\xmax,\ymax) ;
	\CourbeTikz[very thick,red,samples=250]{ln(exp(2*\x)-exp(\x)+1)}{\xmin:\xmax}
	\draw[red] (1.25,1.75) node[font=\large] {$\mathcal{C}_f$} ;
\end{tikzpicture}

\end{document}