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\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\vspace{-1ex}
    \begin{talign}
      y = \ln \frac{x+1}{\sqrt{x-2}} 
    \end{talign}\vspace{-2ex}%
    
    \pause
    We have 
    \begin{talign}
      y &= \ln (x+1) - \ln \sqrt{x-2} \\
      &\mpause[1]{ = \ln (x+1) - \frac{1}{2} \ln (x-2)}
    \end{talign}
    \pause\pause
    Thus
    \begin{talign}
      y' &= \frac{1}{x+1} - \frac{1}{2} \cdot \frac{1}{x-2}
    \end{talign}
  \end{exampleblock}
  \vspace{10cm}  
\end{frame}