" fi) "(" d.fpeanhat "tan^(-1)((sqrt(1-x^(2)))/(x)))/(cos^(-1)(2x sqrt(1-x^(2))))" wrt "

Differentiate tan^(-1)((sqrt(1 - x^2))/(x)) w.r.t. cos^(-1)(2x sqrt(1 - x^2))

Differentiate tan^(-1)((sqrt(1-x^(2)))/(x)) wrt cos^(-1)(2x sqrt(1-x^(2))) if x varepsilon((1)/(sqrt(2)),1)

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)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x^(2)))

Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x^(2))) .

Differentiate tan^(-1) ((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1) ((x)/(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)((sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(2)))) w.r.t. cos^(-1)x^(2) .

Differentiate tan^-1((sqrt(1+x^2)-1)/x) w.r.t tan^-1(x/sqrt(1-x^2))