\begin{exercice} \label{1SF4_E_extrema_2}
 On donne ci-dessous les représentations de trois fonctions $f_1$, $f_2$ et $f_3$.
 
 \setlength{\columnseprule}{0pt}
 \begin{multicols}{3}
  \begin{tikzpicture}[general, scale=0.5]
   \axeX{-3}{2}{-3,-2,-1,0,1}
   \axeY{0}{2}{1}
   \draw [domain=-3:2, color=A1, smooth] plot(\x,{(2*(2*(\x)^3+3*(\x)^2-12*\x)+14)/27});
   \draw (1.1,0.6) [color=A1] node{{\boldmath $\mathcal{C}_{1}$}};
  \end{tikzpicture}
  
  \begin{tikzpicture}[general, scale=0.5]
   \axeX{-3}{2}{-3,-2,-1,0,1}
   \axeY{0}{2}{1}
   \draw [domain=-3:2, color=A1, smooth] plot(\x,{-(2*(2*(\x)^3+3*(\x)^2-12*\x)+14)/27+2});
   \draw (1.1,1.2) [color=A1] node{{\boldmath $\mathcal{C}_{2}$}};
  \end{tikzpicture}
  
  \begin{tikzpicture}[general, scale=0.5]
   \axeX{-2}{1.5}{-2,-1,0,1}
   \axeY{0}{2}{1}
   \draw [domain=-1.91:0.91, color=A1, smooth] plot(\x,{(\x+1/2)^2});
   \draw (1.1,1) [color=A1] node{{\boldmath $\mathcal{C}_{3}$}};
  \end{tikzpicture}
 \end{multicols}
 \setlength{\columnseprule}{1pt}
 
 Parmi ces trois fonctions, laquelle est susceptible d'avoir pour dérivée la fonction représentée ci-dessous ?
 
 \begin{center}
  \begin{tikzpicture}[general, scale=0.7]
   \axeX{-3}{2}{-3,-2,-1,1}
   \axeY{-1}{2}{1}
   \origine
   \draw [domain=-3:2, color=J1, smooth] plot(\x,{(\x-1)*(\x+2)/2.25});
   \draw (-1.8,0.5) [color=J1] node{{\boldmath $\mathcal{C}_{f'}$}};
   \end{tikzpicture}
 \end{center}
\end{exercice}
