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