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

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

\begin{document}

\begin{tikzpicture}[xmin=0,xmax=17.5,x=0.75cm,xgrille=1,ymin=-0.38,ymax=2.2,y=3.75cm,ygrille=0.2]
	\GrilleTikz[Affs=false] \AxesTikz[ElargirOx=0,ElargirOy=0]
	\AxexTikz[AffOrigine=false]{0,1,...,17}
	\AxeyTikz{-0.2,0,0.2,0.4,0.6,0.8,1,1.2,1.4,1.6,1.8,2}
	\FenetreTikz
	\CourbeTikz[red,line width=1.25pt,samples=500]{(2-2*ln(\x))/(\x)}{0.75:17.5}
	\draw[teal,line width=1.25pt,densely dashed] ({exp(2)},0)--++ (0,{2*(1-ln(exp(2)))/exp(2)}) ;
	\draw[teal,line width=1.25pt,densely dashed] (0,{2*(1-ln(exp(2)))/exp(2)}) --++(\xmax,0) ;
	\draw[teal] (1.15,{2*(1-ln(exp(2)))/exp(2)}) node[below left] {$(T)$} ;
	\draw[fill=white] (3,1.4) rectangle (16,2) node[midway,text width=\fpeval{13*0.75}cm,align=center] {On rappelle que \textbf{cette courbe $\bm{\mathcal{C}'}$ est la courbe représentative de la fonction dérivée $\bm{f'}$}} ;
\end{tikzpicture}

\end{document}