" (iv) "sec^(-1)((1)/(4x^(3)-3x))

Differentiate sec^(-1) ((1)/(4x^(3)-3x)), 0 lt x lt (1)/(sqrt2)

co sec^(-1)((1)/(3x-4x^(3)))

If y=sec^(-1)(1/(4x^(3)-3x)),"find "dy/dx .

Differentiate w.r.t. x: (i)cos^(-1)(4x^(3)-3x)" "(ii)sin^(-1)((1-x^(2))/(1+x^(2)))" "(iii)sec^(-1)((x^(2)+1)/(x^(2)-1))

Derivative of sec^(-1)((1)/(1-2x^(2))) w.r.t. sin^(-1)(3x-4x^(3)) is

3sec^(-1)(1/x)-sin^(-1)(4x^(3)-3x)=

Differentiative the following (by suitable substitutions, if valid), w.r.t.x sec^-1(1/(4x^3 - 3x)), 1/2 le x < 1

Derivative of sec^(-1)(1/(1-2x^(2))) w.r.t. sin^(-1)(3x-4x^(3)) is :

Prove that: 3cos^(-1)x=cos^(-1)(4x^(3)-3x),x in[(1)/(2),1]