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The derivative of (sin x) ^(cos x) (0 l...

The derivative of `(sin x) ^(cos x) (0 lt x lt pi)` w.r.t is

A

`(sin x) ^(cot x) [cos x cot x + sin x log sin x]`

B

`(sin x) ^(cot x) [cos x cot x - sin x log sin x]`

C

`(sin x) ^(cos x) [cos x cot x + sin x log sin x]`

D

`(sin x) ^(cos x) [cos x cot x - sin x log sin x]`

Text Solution

Verified by Experts

The correct Answer is:
D
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