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Let $f(x)$ be a differentiable function with the values of $f(x)$ and $f'(x)$ given in the table below.

$$x \hspace{.9cm}$$ 1 2 3 4
$f(x)$ -1 -3 -5 -7
$f'(x)$ 2 4 6 8



If $h(x)=\cfrac{1}{f^2(x)}$ what is the value of $h'(3)$?

A

$-\cfrac{1}{60}$

B

$\cfrac{1}{12}$

C

$\cfrac{12}{5}$

D

$\cfrac{12}{125}$

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