\sethandouttitle{The Product Rule}



\begin{enumerate}
	\item	Find the derivative of $f(x) = (1+2x^2)(x-x^2)$ in two ways: by using the Product Rule and 
			by performing the multiplication first. Do your answers agree?
		\vfill

	\item	Differentiate the function.
		\begin{enumerate}
			\item	$f(x) = t^3 \cos(t)$.
		\vfill
			\item	$f(x) = \sin(x) \cos(x)$.
		\vfill
		\end{enumerate}

	\item	If $f$ is a differentiable function find an expresion for the derivative of $y = x^2 f(x)$.
	\vfill

\end{enumerate}