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\centerline
{
\bf ``QUIZ'' for Lecture 8
}
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{\bf NAME:} (print!) $\underline
{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
{\quad \bf Section:}
$\underline{\quad\quad\quad}$

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{\bf E-MAIL ADDRESS:} (print!) 
$\underline
{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
\bigskip


{\bf 1.} Find the directional derivative of the function
$f(x,y,z)=xy^2z^3$ at the point $(2,1,1)$ in the direction
$\langle 2,-1,-1 \rangle$.

\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip
\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip

{\bf 2.} Find the maximum rate of change of $f(x,y)=x^2+y^3$ at
the point $(2,1)$ and the direction in which is occurs.

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