\begin{frame} \frametitle{Summary of Differentiation Rules} \begin{block}{} \begin{talign} \frac{d}{dx}(c) \;&=\; 0 &&& \frac{d}{dx}(x^r) \;&=\; r\,x^{r-1} \\[2ex] \frac{d}{dx}(e^x) \;&=\; e^x &&& \frac{d}{dx}(a^x) \;&=\; \ln a \cdot a^x \\[2ex] (f+g)' \;&=\; f'+g' &&& (f-g)' \;&=\; f'-g' \\[2ex] (cf)' \;&=\; cf' \\[2ex] (fg)' \;&=\; f'g + fg' &&& \left(\frac{f}{g}\right)' \;&=\; \frac{f'g - fg'}{g^2} \\[2ex] (f\circ g)'(x) \;&=\; f'(g(x)) \cdot g'(x) \end{talign} \end{block} \end{frame}