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JEE MATHEMATICS MCQ: DIFFERENTIATION

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If f(x)=cos⁡xcos⁡2xcos⁡4xcos⁡8xcos⁡16xf\left( x \right) = \cos x\cos 2x\cos 4x\cos 8x\cos 16x, then f′(π4)f'\left( {\frac{\pi }{4}} \right) is
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Correct option: C
0
The correct answer is C (0) because f(π4)=0f(\frac{\pi}{4}) = 0, which makes f′(π4)=0f'(\frac{\pi}{4}) = 0.

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