Let \( f(x) \) be a differentiable function such that \( f^{\prime}(x)=\sin x+\sin 4 x \cos x \)....

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Let \( f(x) \) be a differentiable function such that
\( \mathrm{P} \)
\( f^{\prime}(x)=\sin x+\sin 4 x \cos x \). Then, \( f^{\prime}\left(2 x^{2}+\frac{\pi}{2}\right) \) at \( x=\sqrt{\frac{\pi}{2}} \) is equal to
(1) 0
(2) -1
(3) \( -2 \sqrt{2 \pi} \)
(4) none of these


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