Differentiate `tan^-1(x/sqrt(1-x^2))` with respect to `cos^-1(2x ^2 -1)`

Differentiate tan^-1sqrt((1-x^2)/(1+x^2)) with respect to cos^-1""x^2

Differentiate tan^-1((sqrt(1+x^2)-1)/x) with respect to tan^-1 x

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

Differentiate tan^(-1)[(sqrt(1+x^2)-1)/x] with respect to x

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

Differentiate tan^(-1)((sqrt(1-x^(2)))/(x)) with respect to cos^(-1)(2x sqrt(1-x^(2))), when x!=0

If x in((1)/(sqrt(2)),1), differentiate tan^(-1)((sqrt(1-x^(2)))/(x)) with respect to cos^(-1)(2x sqrt(1-x^(2)))

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

Differentiate tan^-1(x/(1+sqrt(1-x^2))) with respect to sin [(2cot^-1)sqrt((1+x)/(1-x))]