% 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} }