Find the differential coefficient of `sin^(-1)((2x)/(1+x^(2)))` with respect to `tan^(-1)((2x)/(1-x^(2)))`

Find the differential coefficient of: (x^(6)-1)/(x^(2)-1)

Find the differential coefficient of: (x^(4)-1)/(x^(2)+1)

Find the differential coefficient of : "cos"^(-1)(1-x^(2))/(1+x^(2))" w.r.t. sin"^(-1) (2x)/(1+x^(2))

Find the range of tan^(-1)((2x)/(1+x^2))

Find the range of tan^(-1)((2x)/(1+x^2))

Find the differential coefficient of : "tan"^(-1)(sqrt(1+x^(2))-1)/(x) " w.r.t. " tan^(-1)x

Find the differential coefficient of : (tan^(-1)x)/(1+tan^(-1)x)" w.r.t. " tan^(-1)x

Differentiate tan^(-1)(x/sqrt(1-x^2)) with respect to sin^(-1)((2x)*sqrt(1-x^2)),

Find the differential coefficient of : x^(sin^(-1)x)" w.r.t. " sin^(-1)x

or,find the derivatives of tan^(-1) ((sqrt(1+x^2)-1)/x) with respect to tan^(-1) ((2xsqrt(1-x^2))/(1-2x^2)) at x=0.