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\textbf{Math 126: Calculus II}
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\textbf{Quiz 1}\quad \textsl{Aug. 29, 2000}
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a.  In the plot below, you will find the graph of a function
\begin{math}
  y=f(x)
\end{math}
together with the graph of 
\begin{math}
  y=x.
\end{math}
 On this plot, sketch the graphs of the inverse of 
\begin{math}
  f,
\end{math}
the tangent line to the graph of 
\begin{math}
  f
\end{math}
at 
\begin{math}
  x=0.2
\end{math}
and the tangent line to the graph of 
\begin{math}
  f^{-1}
\end{math}
at 
\begin{math}
  x=1.16.
\end{math}

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b. \begin{math}
  f(0.2)=1.16
\end{math}
and
\begin{math}
  f'(0.2)=0.62.
\end{math}
 Find 
\begin{math}
  \frac {d f^{-1}}{dx\ \,\,}(1.16).
\end{math}
Your answer should be consistent with your sketch in  part a.

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