`y=2tan^(-1)(x)`

To find its derivative, apply the derivative formula `d/(dx) tan^(-1)=1/(1+x^2).`

`y'=2*1/(1+x^2)`

`y'=2/(1+x^2)`

**Therefore, the derivative of the given function is `y' = 2/(1+x^2).` **

`y=2tan^(-1)(x)`

To find its derivative, apply the derivative formula `d/(dx) tan^(-1)=1/(1+x^2).`

`y'=2*1/(1+x^2)`

`y'=2/(1+x^2)`

**Therefore, the derivative of the given function is `y' = 2/(1+x^2).` **