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

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

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

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

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

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 tan^(-1) ((sqrt(1 + sin x) + sqrt(1 - sin x))/(sqrt(1 + sin x) - sqrt(1 - sin x))) w.r.t.x .

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