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\lhead{\textit{Analyse}}\lfoot{\textit{BTS 1}}
\rfoot{\emph{www.mathematic.fr}}

\begin{document}

\begin{center}{\huge{Test dˇrivˇes}}\end{center}

\vspace{1cm}
Dˇriver les fonctions suivantes:
$$f(x)=xe^x+\frac{x^2}{2}+x$$
$$f(x)=\frac{4}{3}(1+x)e^{-2x}$$
$$f(x)=(x-1)e^{2x}$$
$$f(x)=(x+1)^2e^{-x}$$
$$f(x)=2xe^{-x}$$
$$f(x)=(2x+3)e^{-x}$$
$$f(x)=ax^2+bx+c$$
$$f(x)=ae^{bx}$$
$$f(x)=0,4xe^{-0,2x^2}$$
$$f(x)=\frac{\ln (1+x)}{1+x}$$
$$f(x)=\frac{2+\ln (1+x)}{1+x}$$
$$f(x)=(x^2+3)\ln x$$
$$f(x)= \ln (3x+5)(x^2-3)$$
$$f(x)=xe^{-x}$$
$$f(x)=(x+2)e^{-x}$$
$$f(x)=1-e^{-710x}$$
$$f(x)=(-x-1)e^{x}$$
$$f(x)=e^{2x}-(x+1)e^x$$
$$f(x)=4x^2e^x$$
$$f(x)=(4x^2-4)e^x$$
 \end{document}