Find the derivative with `tan^(-1) ((sinx )/(1 + cos x))` with respect to `tan^(-1) ((cos x)/(1 + sin x))`

Answer

` therefore (du)/(dv) = ((du)/(dx))/((dv)/(dx)) = ((1)/(2))/(-(1)/(2)) = (1)/(cancel(1))xx (-cancel2)/(1) therefore (du)/(dv) = - 1 `