Differentiate the w.r.t x `tan^-1((1+sin x)/(1- sin x))`.

Differentiate the w.r.t x tan^-1(sqrt (x^2 -1)) .

Differentiate the following w.r.t. x: tan^-1((sinx)/(1+cosx))

Differentiate the w.r.t x tan^-1(sqrt x +x^2 +1/x) .

Differentiate the following w.r.t. x : tan^-1((cosx)/(1+sinx))

Differentiate x^(x^x) w.r.t. x.

Differentiate the following w.r.t. x: (sin x)^x

Differentiate the following w.r.t. x: tan(sin^-1x)

Differentiate the following w.r.t. x: (sin x)^sinx

Differentiate w.r.t x : tan^-1{(sqrt (1+sin x) + sqrt (1-sin x))/(sqrt (1+sin x) - sqrt (1-sin x))}, 0 < x < pi/2

Differentiate the following w.r.t. x: tan^-1sqrt((1+sinx)/(1-sinx))