<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;"> % This file is public domain
 %
 % These problems are for multiple choice questions
\newproblem{mc:prod}{%
Which of the following is the derivative of $x\sin(x)$?
(Circle the correct answer.)
\ifthenelse{\boolean{showanswers}}{}%
{\begin{description}
\item[A] $\sin(x)$
\item[B] $x\cos(x)$
\item[C] $\sin(x) + x\cos(x)$
\end{description}
}}{%
\begin{description}
\item[A] $\sin(x)$
\item[B] $x\cos(x)$
\item[\textcircled{C}] $\sin(x) + x\cos(x)$ (product rule).
\end{description}
}

\newproblem{mc:quot}{%
Which of the following is the derivative of $\frac{\sin(x)}{x}$?
(Circle the correct answer.)
\ifthenelse{\boolean{showanswers}}{}%
{\begin{description}
\item[A] $\sin(x)$
\item[B] $\cos(x)$
\item[C] $\frac{\cos(x)x-\sin(x)}{x^2}$
\end{description}
}}{%
\begin{description}
\item[A] $\sin(x)$
\item[B] $\cos(x)$
\item[\textcircled{C}] $\frac{\cos(x)x-\sin(x)}{x^2}$
(quotient rule)
\end{description}
}
</pre></body></html>