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            Prof MOSAID &  Control 2 -- 1BACSF-1  & 2h \\
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    \textbf{\underline{Exercice 1:(7.5pts)}}\\
    \begin{tabular}{@{}>{\centering\arraybackslash}m{0.05\textwidth}|p{0.92\textwidth}}
        3 & 1)- Calculer les limites suivantes: (utiliser les nombres dérivés)\\
          & \hspace*{0.5cm} $\displaystyle{\lim_{x \to \pi } \frac{cosx+1}{x-\pi} }$ \hspace*{0.2cm};\hspace*{0.2cm}
                $\displaystyle{\lim_{x \to 1} \frac{x^3-\sqrt{x}+2x-2}{x-1} }$ \\
          & \\
      1.5 & 2)-  Calculer le nombre dérivé: $f(x)=x^2+3x-2$ et $x_0=3$ \\
          & \\
        3 & 3)- Etudier la dérivablité au point $x_0=2$
            $\begin{cases}
                f(x) = - \frac{1}{2}x^2+5 \hspace*{0.2cm}; \hspace*{0.2cm} x \le 2 \\
                f(x) = - \frac{x+1}{x-1} \hspace*{0.9cm};\hspace*{0.2cm} x > 2 \\
            \end{cases}$\\
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    \textbf{\underline{Exercice 2:(8pts)}}\\
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        2$\times$4 & Calculer les fonctions dérivées des fonctions:\\
            &\\
            & \hspace*{0.5cm} $f(x)=3x^4-7x^2+x-7$ \hspace*{0.2cm};\hspace*{0.2cm} $f(x) = \frac{2x-3}{x+1}$ \hspace*{0.2cm};
                \hspace*{0.2cm} $f(x)=\sqrt{x}cosx$ \hspace*{0.2cm};\hspace*{0.2cm} $f(x) = \frac{x^2-3x-1}{\sqrt{x+1}}$ \\
            &\\
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    \textbf{\underline{Exercice 3:(4.5pts)}}\\
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            & Soit le parallèlogramme $ABCDEFGH$ \\
            3 & 1)- Simplifier les sommes :\\
            & \\
            & \hspace*{0.5cm}$\overrightarrow{HG}+\overrightarrow{CB}$ \hspace*{0.2cm};\hspace*{0.2cm}
            $\overrightarrow{HE}+\overrightarrow{HG}+\overrightarrow{FH}$
            \hspace*{0.2cm};\hspace*{0.2cm}  $\overrightarrow{GH}-\overrightarrow{FG}+\overrightarrow{GC}$\\
            &\\
            1.5 & 2)- Montrer que les vecteurs $\overrightarrow{BE}$, $\overrightarrow{BC}$ et $\overrightarrow{BH}$ \\
            & \hspace*{0.5cm} sont coplanaires. \\
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    \vspace{1.2cm}
    \\
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