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\begin{frame}
  \frametitle{Exam Task from 2005}
  
  \begin{exampleblock}{}
    Using the definition of derivative, find $f'(x)$, where $f(x) = \sqrt{2x}$.
    \pause
    \begin{talign}
      f'(x) &= \lim_{h\to 0} \frac{f(x+h) - f(x)}{h}\\
      &\mpause[1]{= \lim_{h\to 0} \frac{\sqrt{2x+2h} - \sqrt{2x}}{h}}\\
      &\mpause[2]{= \lim_{h\to 0} \left( \frac{\sqrt{2x+2h} - \sqrt{2x}}{h} \cdot \frac{\sqrt{2x+2h} + \sqrt{2x}}{\sqrt{2x+2h} + \sqrt{2x}} \right)}\\
      &\mpause[3]{= \lim_{h\to 0} \left( \frac{2x+2h - 2x}{h\cdot (\;\sqrt{2x+2h} + \sqrt{2x}\;)} \right)}\\
      &\mpause[4]{= \lim_{h\to 0} \left( \frac{2}{\sqrt{2x+2h} + \sqrt{2x}} \right)}\\
      &\mpause[5]{= \frac{2}{2\sqrt{2x}}}
      \mpause[6]{= \frac{1}{\sqrt{2x}}}
    \end{talign} 
  \end{exampleblock}
\end{frame}