\begin{frame} \frametitle{Derivatives of Trigonometric Functions} \begin{exampleblock}{} Differentiate $f(x) = \sin(\cos(\tan x))$. \pause\medskip \begin{talign} f'(x) &= \mpause[1]{ \cos( \;\;\cos(\tan x)\;\; ) \cdot \frac{d}{dx} \cos(\tan x) }\\ &\mpause[2]{= \cos(\cos(\tan x)) \cdot (-\sin (\tan x)) \cdot \frac{d}{dx} \tan x } \\ &\mpause[3]{= -\cos(\cos(\tan x)) \cdot \sin (\tan x) \cdot \frac{1}{\cos^2 x} } \end{talign} \pause\pause\pause\pause Note that we have applied the chain rule twice! \end{exampleblock} \end{frame}