\input{ThisWeek.tex}
\newcommand{\duedate}{Monday, October 6}
\input{../TemplateWeek/AtHomeWork.tex}
\input{Exercises.tex}

%\booltrue{teacher}

\begin{enumerate}
\item Suppose that the function
\[g(x)=\left\{\begin{array}{ll}
bx^2-bx+e&\text{if }x<1\\
e^x&\text{if }x\geq 1
\end{array}\right.\]
is differentiable everywhere.  What is $b$?
\item Find $\frac{d}{dx}(3x^2+7xe^x)$
\item Find $\frac{d}{dz}((z^2-4)(z^2+4))$
\item Find $\frac{d}{dx}\frac{e^x}{x^3+x}$
\end{enumerate}

\end{document}