\begin{frame} \frametitle{Derivatives of Logarithmic Functions} \begin{block}{} \begin{malign} \frac{d}{dx} (\log_a x) = \frac{1}{x\ln a} && \frac{d}{dx} (\ln x) = \frac{1}{x} \end{malign} \end{block} \begin{exampleblock}{} Differentiate \begin{talign} y = \ln(x^3 + 1) \end{talign} \pause We have \begin{talign} y' = \frac{1}{x^3 + 1} \cdot 3x^2 \end{talign} \end{exampleblock} \pause \begin{exampleblock}{} Differentiate \begin{talign} y = \ln(\sin x) \end{talign} \pause We have \begin{talign} y' = \frac{1}{\sin x} \cdot \cos x \mpause[1]{ = \cot x} \end{talign} \end{exampleblock} \vspace{10cm} \end{frame}