Differentiate tan^(-1)((a+x)/(1-a x)) wi...

Differentiate `tan^(-1)((a+x)/(1-a x))` with respect to `x`

A

`(-a)/(1+x^2)`

B

`(a)/(1+x^2)`

C

`-(1)/(1+x^2)`

D

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

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Differentiate tan^(-1)((a+x)/(1-ax)) with respect to x

Differentiate tan^(-1)((a+bx)/(b-ax)) with respect to x

Differentiate tan^(-1)((x)/(1+6x^(2))) with respect to x

Differentiate tan^(-1)((2x)/(1-x^(2))) with respect to x, if x in(-1,1)

Differentiate tan^(-1)((2x)/(1-x^(2))) with respect to x, if x in(-oo,-1)

Differentiate tan^(-1)((2x)/(1-x^(2))) with respect to x, if x in(1,oo)

Differentiate tan^(-1)((cos x)/(1+sin x)) with respect to sec^(-1)x.

Differentiate tan^(-1)((1+cos x)/(sin x)) with respect to x

Differentiate tan^(-1)((x-a)/(x+a)) with respect to x

Differentiate tan^(-1)((1+2x)/(1-2x)) with respect to sqrt(1+4x^(2))