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If $g(x)=4x^3-\frac{1}{\sqrt[6]{x^7}}$, then $g'(x)=$

A

$12x^2+\cfrac{7x^2 \sqrt[6]{x}}{6}$

B

$12x^2-\cfrac{7x^2 \sqrt[6]{x}}{6}$

C

$12x^2+\cfrac{7}{6x^2 \sqrt[6]{x}}$

D

$12x^2-\cfrac{7}{6x^2 \sqrt[6]{x}}$

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