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