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The derivative of (cot x ) ^( sin x) + (...

The derivative of `(cot x ) ^( sin x) + (tna x) ^(cos x)` w.r.t x is

A

`(cot x ) ^(sin x) [ sec x + cos x log cot x] + (tan x) ^(cos x) [ cosec x- sin x log tan x]`

B

`(cot x ) ^(sin x) [ -sec x + cos x log cot x] + (tan x) ^(cos x) [ cosec x+ sin x log tan x]`

C

`(cot x ) ^(sin x) [ sec x - cos x log cot x] + (tan x) ^(cos x) [ cosec x- sin x log tan x]`

D

`(cot x ) ^(sin x) [ -sec x + cos x log cot x] + (tan x) ^(cos x) [ cosec x- sin x log tan x]`

Text Solution

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The correct Answer is:
D
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