\begin{frame} \frametitle{Derivatives of Exponential Functions} \begin{exampleblock}{} Let $f(x) = e^x - x$. Find $f'$ and $f''$. \pause \begin{talign} f'(x) &= \mpause[1]{ e^x - 1 } & \mpause[2]{f''(x) }&\mpause[2]{= }\mpause[3]{ e^x } \end{talign}\vspace{-2ex} \pause\pause\pause\pause \begin{center} \scalebox{.8}{ \begin{tikzpicture}[default,baseline=1cm] \diagram{-3}{3}{-1}{3}{1} \diagramannotatez \diagramannotatex{-1,1} \diagramannotatey{-1,1} \begin{scope}[ultra thick] \draw[cgreen,ultra thick] plot[smooth,domain=-3:1.5,samples=30] function{exp(x) - x}; \node[cgreen] at (-2.5,3) {$f$}; \draw[cred,ultra thick] plot[smooth,domain=-3:1.4,samples=30] function{exp(x) - 1}; \node[cred] at (-2.5,-.5) {$f'$}; \end{scope} \end{tikzpicture} } \end{center} \smallskip \end{exampleblock} \end{frame}