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If $f(x)=\sin ^{2} x^{2}$, then what is $f^{\prime}(x)$ equal to?
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Verified Answer
The correct answer is:
$4 x \sin \left(x^{2}\right) \cos \left(x^{2}\right)$
Given $f(x)=\sin ^{2} x^{2}$
$\therefore f^{\prime}(x)=2 \sin x^{2} \cos x^{2} \cdot 2 x$
$=4 x \sin x^{2} \cos x^{2}$
$\therefore f^{\prime}(x)=2 \sin x^{2} \cos x^{2} \cdot 2 x$
$=4 x \sin x^{2} \cos x^{2}$
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