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\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}
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