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If $g(x)=\arcsin(x^2)$ then, $g' \left(\frac{1}{\sqrt{2}} \right) =$

A

$\cfrac{8\sqrt{6}}{3}$

B

$\cfrac{2\sqrt{6}}{3}$

C

$\cfrac{4\sqrt{2}}{5}$

D

$\cfrac{2\sqrt{3}}{3}$

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