\begin{frame} \frametitle{Higher Derivatives} What is the meaning of $f''(x)$? \begin{itemize} \pause \item the slope of $f'(x)$ at point $(x,f'(x))$ \pause \item the rate of change of $f'(x)$ \pause \item the rate of change of the rate of change of $f(x)$ \end{itemize} \pause\bigskip \begin{exampleblock}{} The \emph{acceleration} is an example of a second derivative: \begin{itemize} \pause \item $s(t)$ is the position of an object (at time $t$) \pause \item $v(t) = s'(t)$ is the speed (at time $t$) \pause \item $a(t) = v'(t) = s''(t)$ is the acceleration (at time $t$) \end{itemize} \end{exampleblock} \end{frame}