\begin{frame} \frametitle{Derivatives of Trigonometric Functions} \begin{block}{} \begin{malign} \frac{d}{dx} \sin x &= \cos x && \frac{d}{dx} \cos x = -\sin x \end{malign} \end{block} \pause\medskip \begin{exampleblock}{} Differentiate \begin{talign} f(x) = x^2 \sin x \end{talign} \pause\medskip We have \begin{talign} f'(x) &= \mpause[1]{ x^2 \frac{d}{dx}\sin x + \sin x \frac{d}{dx} x^2 \quad\text{\textcolor{gray}{product rule}} } \\ &\mpause[2]{= x^2 \cos x + 2x \sin x} \end{talign} \end{exampleblock} \vspace{10cm} \end{frame}