If sqrt(tan y) =e^(cos 2x) sin x, then ...

If `sqrt(tan y) =e^(cos 2x) sin x, ` then `(dy)/(dx) =`

A

`sin2y.sin2x`

B

`sin2y(Cotx-2sin2x)`

C

`sin2x.sin2y`

D

`cos2y.sin2x`

Text Solution

Verified by Experts

The correct Answer is:

B

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Knowledge Check

If y = log _(cos x ) sin x, then , (dy)/(dx ) =

A

`(cot x log cos x + tan x log sin x) //(log cos x )^(2)`

B

`(tan x log cos x + cot x log sin x) //(log cos x )^(2)`

C

`cot x log cos x + tan x log sin x) // (log sin x) ^(2)`

D

none

If y = Tan^(-1)[(5 cos - 12 sin x)/(12 cos x + 5 sin x)] , then (dy)/(dx) =

A

1

B

`-1`

C

`-2`

D

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If y = sqrt(sin x + y ) then (dy)/(dx) =

A

`(cos x )/(y -1)`

B

`(cos y )/( x -1)`

C

`(cos x)/( 2y -1)`

D

`(cos y )/(2x -1)`

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