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If f(x) = cos x cos 2x cos 2^2 x cos^(2^...

If f(x) `= cos x cos 2x cos 2^2 x cos^(2^3) x .....cos 2^(n-1) x and n gt 1` then `f^(1)(pi/2)` is

A

1

B

0

C

`-1`

D

`(-1)^(n-1)`

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The correct Answer is:
A
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