Find the derivative of `sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))" at "x=(1)/(2).`

The derivative of cos^(-1) (2x^(2)-1) w.r.t cos^(-1)x is

Find the derivate of (2)/(x+1)-(x^(2))/(3x-1)

Differentiate sin^(-1)(2axsqrt(1-a^(2)x^(2)))w.r.t.sqrt(1-a^(2)x^(2)).

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

Statement I Derivative of sin^(-1)((2x)/(1+x^(2)))w.r.t. cos^(-1)((1-x^(2))/(1+x^(2))) is 1 for 0ltxlt1. sin^(-1)((2x)/(1+x^(2)))=cos^(-1)((1-x^(2))/(1+x^(2))) for -1lexle1 (a)Both statement I and Statement II are correct and Statement II is the correct explanation of Statement I(b)Statement I is correct but Statement II is incorrect

Find the derivative of tan^(-1) [(sqrt(1+x^(2))-1)/(x)] with respect to tan^(-1) ((2x)/(1-x^(2)))

Differentiate sin^(-1)(4xsqrt(1-4x^(2)))w.r.t.sqrt(1-4x^(2)) , if x in(-(1)/(2sqrt2),(1)/(2sqrt2))

Find the derivative of sin^(-1) [(2^(x+1).3^(x))/(1+ (36)^(x))] with respect to x.