\input{ThisWeek.tex}
\newcommand{\duedate}{Monday, October 13}
\input{../TemplateWeek/AtHomeWork.tex}
\input{Exercises.tex}

%\booltrue{teacher}

\begin{enumerate}
\item Write an equation representing the following: ``The acceleration of a spring is proportional to its displacement, but in the opposite direction.''  (The displacement of a spring is how far the spring has been pushed or stretched out of its rest state; displacement is a kind of position, so its derivatives have the same names as the derivatives of position---the first derivative of displacement is velocity, and so on.)
\item Find $\frac{d^{75}}{dx}(xe^x)$
\item Find $\frac{d}{dx}\sin e^{\tan \ln x}$
\item $\mathrm{Si}(x)$ is a function with $\frac{d}{dx}\mathrm{Si}(x)=\frac{\sin x}{x}$.  What is $\frac{d}{dx}\mathrm{Si}(x^4)$?
\item You know the following values of $f, f'$:
\begin{tabular}{l|l|l|l|l}
&1&2&3&4\\
\hline
  f(x)&3&2&1&4\\
f'(x)&4&3&2&1\\
\end{tabular}

What is $\frac{d}{dx}f(x^2)|_{x=2}$?
\end{enumerate}

\end{document}