Question

The value of `d/(dx)[tan^-1((a - x)/(1 + ax))]` is ______.

पर्याय

• `- 1/(1 + x^2)`

• `1/(1 + a^2) - 1/(1 + x^2)`

• `1/(1 + x^2)`

• None of these

Answer 1

The value of `d/(dx)[tan^-1((a - x)/(1 + ax))]` is `underlinebb(- 1/(1 + x^2))`.

Explanation:

`d/(dx)[tan^-1((a - x)/(1 + ax))]`

= `d/(dx) (tan^-1a - tan^-1x)`

= `0 - 1/(1 + x^2)`

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