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