\input{ThisWeek.tex}
\newcommand{\duedate}{Monday, October 20}
\input{../TemplateWeek/AtHomeWork.tex}
\input{Exercises.tex}

%\booltrue{teacher}

\begin{enumerate}
\item If $y^3=2x^2-5x+27$, find $\frac{d^2y}{dx^2}$.  (Solve to get $y''=\cdots$ where $\cdots$ includes $x$ and $y$, but does not include $y'$.)
\item If $f(x)=x^7-3x^2+2$, find $\frac{d}{dx}f^{-1}(x)$ (your answer will include $f^{-1}(x)$).
\item Find $\frac{d}{dx}\frac{e^x\sqrt{\cos x}}{(x+2)(x+3)^2}$.
\item Suppose you have an unknown function $g$ with the following table of values
  \begin{tabular}{|l|lllllll|}
\hline
    x&1&2&3&4&5&6&7\\
\hline
h(x)&-4&-3&-1&0&2&3&8\\
h'(x)&4&2&0&1&2&3&3\\
\hline
  \end{tabular}

What is $(h^{-1})'(2)$?
\end{enumerate}

\end{document}