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If y =(sin x)^(tan x), then dy/dx =...

If `y =(sin x)^(tan x)`, then dy/dx =

A

`(sin x)^(tan x)[1+sec^(2)x.log sin x]`

B

`tan x . (sin x)^(tan x -1)`

C

`tanx. (sin x)^(tan x-1).cos x`

D

`(sin x)^(tan x).log (sin x).sec^(2)x`

Text Solution

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The correct Answer is:
A
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