`tan^-1((2x)/(1-x^2))w.r.t sin^-1((2x)/(1+x^2))`

The derivative of sin^(-1)((2x)/(1+x^(2))) w.r.t tan^(-1)((2x)/(1-x^(2))) is

Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

Statement I Derivative of sin^(-1)((2x)/(1+x^(2)))w.r.t. cos^(-1)((1-x^(2))/(1+x^(2))) is 1 for 0ltxlt1. sin^(-1)((2x)/(1+x^(2)))=cos^(-1)((1-x^(2))/(1+x^(2))) for -1lexle1

Solve 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(1-x^2))=pi/3

If u=sin^(-1)((2x)/(1+x^(2)))andv=tan^(-1)((2x)/(1-x^(2))) , then (du)/(dv) is

The derivative of sin^-1(2xsqrt(1-x^2)) w.r.t sin^-1x (a) 2, (b) pi/2-2 (c) pi/2, (d), -2

Differentiate tan^(-1)((2x)/(1-x^2)) with respect to sin^(-1)((2x)/(1+x^2)) , if x in (-1,\ 1)

Differentiate tan^(-1)((2x)/(1-x^2)) with respect to sin^(-1)((2x)/(1+x^2)) , if x in (-1,\ 1)

The value of tan{1/2 sin^-1 ((2x)/(1+x^2))+1/2 cos^-1 ((1-x^2)/(1+x^2))} is (A) (2x)/(1-x^2) (B) (2x)/(1-x^2) (C) not defined if x.>=1 (D) 0

If sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))=4 tan^(-1) x then