Derivative of cos^(-1) (sin x) w.r.t. x ...

Derivative of `cos^(-1) (sin x)` w.r.t. x equals

A

`-1`

B

`1`

C

`cos x `

D

`sinx `

Text Solution

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The correct Answer is:

A

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Knowledge Check

Derivative of sin^(-1) (cos x) w.r.t. x equals

A

`-1`

B

`1`

C

`cos x`

D

`sin x`

Derivative of tan^(-1)(cotx) w.r.t. x equals

A

`1`

B

` -1 `

C

tan x

D

cotx

Choose the correct option in the question : Derivative of sin ^(-1) (e ^(x)) w.r.t. x is

A

`(e ^(x))/( sqrt (1 + e ^(2) x ))`

B

`(e ^(x))/( sqrt (1 - e ^(2x)))`

C

`(1)/( sqrt (1 + e ^( 2x)))`

D

`(1)/( sqrt ( 1 - e ^(2 x)))`

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