Let \( f(x)=\left|\begin{array}{ccc}\cos x & \sin x & \cos x \\ \co...

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Let \( f(x)=\left|\begin{array}{ccc}\cos x & \sin x & \cos x \\ \cos 2 x & \sin 2 x & 2 \cos 2 x \\ \cos 3 x & \sin 3 x & 3 \cos 3 x\end{array}\right| \).
Then
(a) \( f^{\prime}(0)=0 \)
(b) \( f^{\prime}(\pi / 2)=4 \)
(c) \( f^{\prime}(\pi)=0 \)
(d) \( f^{\prime}(\pi)=4 \)
\( \mathrm{P} \)
W
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