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If $g(x)=6^{(x^2-2)}$, then its derivative is given by:

A

$g'(x)=x^2 \cdot \ln 6 \cdot 6^{(x^2-2)}$

B

$g'(x)=(x^2-2) \cdot \ln 6 \cdot 6^{(x^2-3)}$

C

$g'(x)=\ln 6 \cdot 6^{(x^2-2)}$

D

$g'(x)=2x \cdot \ln 6 \cdot 6^{(x^2-2)}$

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