\begin{frame} \frametitle{Implicit Differentiation} Consider the equation: \begin{talign} x^2 + y^2 = 25 \end{talign} \pause This equation describes a circle: \begin{center} \scalebox{1}{ \begin{tikzpicture}[default,baseline=1cm,scale=.3] \diagram{-6}{6}{-6}{6}{1} \diagramannotatez \begin{scope}[ultra thick] \draw[cgreen,ultra thick] (0,0) circle (5); \end{scope} \end{tikzpicture} } \end{center} \pause\medskip This is not a function and we cannot write it as: \begin{talign} y = \ldots \mpause[1]{ \quad\text{\textcolor{gray}{unless we split the circle in upper and lower half}} } \end{talign} \pause\pause How to compute the slope of points on this curve? \vspace{10cm} \end{frame}