\begin{frame}
  \frametitle{Mean Value Theorem}

  \meanvalueshort

  \begin{exampleblock}{}
    Let $s(t)$ be the position of an object after time $t$.
    \pause\medskip
    
    Then the average velocity between time $t = a$ and $t = b$ is:
    \begin{talign}
      \frac{s(b) - s(a)}{b-a} 
    \end{talign}
    \pause
    What does the Mean Value Theorem tell us?
    \pause\medskip

    It states that there is a time $c$ between $a$ and $b$ such that
    \begin{talign}
      f'(c) = \frac{s(b) - s(a)}{b-a} \quad \text{, \quad that is}
    \end{talign}        
    the instantaneous velocity at $c$ is equal to the average velocity.
  \end{exampleblock}
  \vspace{10cm}
\end{frame}