\input epsf
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\noindent {\bf Problem statement} Suppose that $f(x)$ and $g(x)$ are
differentiable functions, and the following information is known about
them:
$$f(2)=-3\qquad f'(2)=5\qquad g(2)=1\qquad g'(2)=2 \qquad g(0)=2
\qquad g'(0)=4$$

\noindent a) If $\displaystyle F(x)={{f(x)}\over {g(x)}}$, compute
$F(2)$ and $F'(2)$.

\medskip

\noindent b) If $G(x)=x^3f(x)-7g(x)$, compute $G(2)$ and $G'(2)$.

\medskip

\noindent c) If $\displaystyle H(x)={{3+e^x}\over{g(x)}}$, compute $H(0)$ and $H'(0)$.











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