Differentiate the following functions with respect to `x`
: `tan^(-1)((a+x)/(1-a x))`
(ii) `tan^(-1)((acosx-bsinx)/(bcosx+asinx)),\ -`
pi/2-1`

Explanation

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

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

Differentiate w.r.t.x

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

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