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{\bf Math 165: Honors Calculus I}
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{\bf Quiz 10}\quad {\sl Nov.\ 30, 1995}

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\item A particle is constrained to move along a curve whose equation is
$y = x^3-2x$.  At what point on the curve are the $x$-coordinate and
the $y$-coordinate changing at the same rate.
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\problemspace
\item Find the extrema (both relative and absolute maxima and minima)
of the function $f(x) = 3x^4 - 8x^3 + 6x^2 + 1$ on the interval
$[-2,2]$.
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\item State the following theorems precisely.
  \begin{enumerate}[a)]

  \item \textsc{Rolle's Theorem}.
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  \item \textsc{Mean Value Theorem for Derivatives}.
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  \end{enumerate}


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