\colorlet{xcas}{H1}
\begin{exercice}[\hfill \tice]
Un logiciel de calcul formel a donné :\\
\fbox{1} \texttt{f(x):=\textcolor{xcas}{\textbf{e}}\^{}(2x\^{}3-3x\^{}2+4)}\\
\phantom{.}\hspace{1cm}\textcolor{A1}{\texttt{x -> exp(2*x\^{}3-3*x\^{}2+4)}}\\
\fbox{2} \texttt{df:=\textcolor{xcas}{\textbf{derive}}(f)}\\
\phantom{.}\hspace{1cm}\textcolor{A1}{\texttt{x -> exp(2*x\^{}3-3*x\^{}2+4)*(2*3*x\^{}2-3*2*x)}}\\
\fbox{3} \texttt{\textcolor{xcas}{\textbf{factoriser}}(df)}\\
\phantom{.}\hspace{1cm}\textcolor{A1}{\texttt{x -> 6*x*(x-1)*exp(2*x\^{}3-3*x\^{}2+4)}}\\
Traduire ce qu'on a voulu faire et le vérifier.
\end{exercice}

