\begin{frame} \frametitle{2nd Midterm Exam - Review} \begin{exampleblock}{} Find the derivative of \begin{align*} f(x) &= (\sqrt{x^5} - 3\sqrt[3]{x}) \cdot (6x^4 + 2x)\\ &= \mpause[1]{(x^{\frac{5}{2}} - 3x^{\frac{1}{3}}) \cdot (6x^4 + 2x)} \end{align*} \pause\pause We have: \begin{align*} f'(x) &= \mpause[1]{ (x^{\frac{5}{2}} - 3x^{\frac{1}{3}}) \cdot \frac{d}{dx} (6x^4 + 2x) + (6x^4 + 2x) \cdot \frac{d}{dx} (x^{\frac{5}{2}} - 3x^{\frac{1}{3}})} \\ &\mpause[2]{= (x^{\frac{5}{2}} - 3x^{\frac{1}{3}}) \cdot (24x^3 + 2) + (6x^4 + 2x) \cdot (\frac{5}{2}x^{\frac{3}{2}} - x^{-\frac{2}{3}})} \end{align*} \end{exampleblock} \end{frame}