Differentiate the following functions with respect to `x :` `tan^(-1)((a-x)/(a+x))` , `-a< x < a`

Explanation

y=`tan^(-1)((a-x)/(a+x))`

=`tan^(-1)((1-x/a)/(1+x/a))`

=`tan^(-1)(1)+tan^(-1)(x/a)`

`dy/dx=a^2/(a^2+x^2).(1/a)`

`dy/dx=a/(a^2+x^2)`