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JEE MATHEMATICS MCQ: DIFFERENTIATION

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If f(x)=cos⁡xcos⁡2xcos⁡4xcos⁡8xcos⁡16xf(x)=\cos x \cos 2 x \cos 4 x \cos 8 x \cos 16 x, then f′(π4)f^{\prime}\left(\frac{\pi}{4}\right) is
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Correct option: A
2\sqrt{2}
Option D (All the above) is correct because f′(2)=f′(3)=0f'(2) = f'(3) = 0 and f′(12)=165f'(\frac{1}{2}) = \frac{16}{5}, satisfying all the given conditions.

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