[" Defferentrate "C_(oo)^( prime)((1-x^(2))/(1+x^(2)))" wret "],[qquad tan^(-1)((3x-x^(3))/(1-3x^(2)))]

tan^(-1)x+tan^(-1)(2x)/(1-x^(2))=pi+tan^(-1)(3x-x^(3))/(1-3x^(2)),(x>0)

Prove that 3tan^(-1)x=tan^(-1)((3x-x^3)/(1-3x^2))

tan^(-1)x+(tan^(-1)(2x))/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|<(1)/(sqrt(3))

Prove the following: tan^(-1)x+tan^(-1)((2x)/(1-x^(2)))=tan^(-1)((3x-x^(3))/(1-3x^(2)))

Prove that tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|lt1

Prove that: tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3)/(1-3x^2))

Prove that tan^(-1)x+tan^(-1)((2x)/(1-x^(2)))=tan^(-1)((3x-x^(3))/(1-3x^(2)))|x|lt1/(sqrt(3))

Prove that, tan^(-1)x+"tan"^(-1)(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|lt1/sqrt3

If -1/(sqrt(3))

If -1/(sqrt(3)) < x < 1/(sqrt(3)) , differentiate tan^(-1)((3x-x^3)/(1-3x^2)) with respect to tan^(-1)((2x)/(1-x^2)) .