=cos^(-1)((1-x^(2))/(1+x^(2))),0

Prove the following: 2tan^(-1)x=cos^(-1)((1-x^(2))/(1+x^(2))),xge0

Differentiate tan^(-1)((2x)/(1-x^(2))) with respect to cos^(-1)((1-x^(2))/(1+x^(2))), if ^(@)0

Differentiate sin^(-1)((2x)/(1+x^(2))) with respect to cos^(-1)((1-x^(2))/(1+x^(2))), if 0

The derivative of sin^(-1)((x)/(sqrt(1-x^(2)))) w.r.t cos^(-1)((1-x^(2))/(1+x^(2))),(x>0) is

Differentiate the following function with respect to x:cos^(-1)((1-x^(2n))/(1+x^(2n))),0

Differentiate sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2))), with respect to x, if x in(0,1) (ii) x in(-1,0)

The intergral int x cos^(-1) ((1-x^(2))/(1+x^(2))) dx, (x gt 0) is equal to

The intergral int x cos^(-1) ((1-x^(2))/(1+x^(2))) dx, (x gt 0) is equal to

Evaluate: int(e^(tan^(-1)x))/((1+x^(2)))[(sec^(-1)sqrt(1+x^(2))+cos^(-1)((1-x^(2))/(1+x^(2)))]dx,(x>0)