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Consider the function $h(x)$ whose derivative is given by,

$$h'(x) = \frac{{{{\cos }^2}(x)}}{{2x}} - \frac{1}{{12}}$$

How many critical points does $h(x)$ have on the open interval $(0, 10)$?

A

$3$

B

$4$

C

$5$

D

$6$

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