\begin{frame}
  \frametitle{Derivatives of Trigonometric Functions}
  
  \begin{exampleblock}{}
    Differentiate $f(x) = \sin(x^2)$.
    \pause\medskip
    
    We have $f = g \circ h$ where \;\;$g(x) = \sin x$\;\; and \;\;$h(x) = x^2$\;\;:
    \pause
    \begin{talign}
      g'(x) &\mpause[1]{= \cos x } \\
      \mpause[2]{h'(x) }&\mpause[3]{ = 2x } \\
      \mpause[4]{f'(x)} 
      &\mpause[5]{ = g'(h(x)) \cdot h'(x) } 
      \mpause[6]{ = \cos(x^2) \cdot 2x } 
      \mpause[7]{ = 2x\cos(x^2) }
    \end{talign}
  \end{exampleblock}
  \pause\pause\pause\pause\pause\pause\pause\pause
  \medskip
  
  \begin{exampleblock}{}
    Differentiate $g(x) = \sin^2 x \pause = (\sin x)^2$.
    \pause\medskip
    
    We have $f = g \circ h$ where \;\;$g(x) = x^2$\;\; and \;\;$h(x) = \sin x$\;\;:
    \pause
    \begin{talign}
      g'(x) &\mpause[1]{= 2x } \\
      \mpause[2]{h'(x) }&\mpause[3]{ = \cos x } \\
      \mpause[4]{f'(x)} 
      &\mpause[5]{ = g'(h(x)) \cdot h'(x) } 
      \mpause[6]{ = 2 \sin x \cdot \cos x }
    \end{talign}
  \end{exampleblock}
\end{frame}