Quotient Rule Using a Table

The table below gives values of the twice-differentiable functions $f$ and $g$ and their derivatives at $x = 3$ :

$x$	$f(x)$	$f'(x)$	$f''(x)$	$g(x)$	$g'(x)$	$g''(x)$
3	2	-1	4	5	-3	-2

If $h(x) = \displaystyle\frac{g'(x)}{f(x)}$ , what is the value of $h'(3)$ ?

$\displaystyle\frac{1}{4}$

$-\displaystyle\frac{1}{2}$

$-\displaystyle\frac{7}{4}$

$\displaystyle\frac{5}{4}$

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