\begin{frame} \frametitle{Differentiation Rules: Product Rule} \begin{block}{Product Rule} If $f$ and $g$ are both differentiable, then \begin{talign} \frac{d}{dx} [f(x)\cdot g(x)] \;=\; f(x) \frac{d}{dx}( g(x) ) + g(x) \cdot \frac{d}{dx}( f(x) ) \end{talign} \end{block} \pause\medskip In different notation \begin{block}{} \begin{malign} (f\cdot g)'(x) \;=\; f(x) \cdot g'(x) + f'(x) \cdot g(x) \end{malign} \end{block} \pause\medskip In words: \begin{itemize} \item [] The derivative of the product of two function is the first function times the derivative of the second function plus the second function times the derivative of the first. \end{itemize} \end{frame}