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 $h'(3)$?

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