If `y=tan^(-1)((3x-x^3)/(1-3x^2)),1/(sqrt(3))ltxlt1 /(sqrt(3)),` then find `(dy)/(dx)`

y=tan^(-1)""(3x-x^(3))/(2x^(2)-1),-(1)/(sqrt(3))ltxlt(1)/(sqrt(3))

If y=sin^(-1)(6xsqrt(1-9x^(2))),-1/(3sqrt2)ltxlt1/(3sqrt2) , then find (dy)/(dx) .

Find quad (dy)/(dx) in the following: y=tan^(-1)((3x-x^(3))/(1-3x^(2))),-(1)/(sqrt(3))

tan^(-1)((sqrt(x)(3-x))/(1-3x))

y= tan^(-1)((3x-x^(3))/(1-3x^(2))) Find dy/dx

Differentiate tan^(-1)((3x-x^(3))/(1-3x^(2))), if -(1)/(sqrt(3)) (1)/(sqrt(3))(3)*xlt1/sqrt(3)

Differentiate tan^(-1)((3x-x^(3))/(1-3x^(2))), if -1/(sqrt(3))

Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " -(1)/(sqrt3) lt x lt (1)/(sqrt3)),(pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x gt (1)/(sqrt3)),(-pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x lt - (1)/(sqrt3)):}

If y=tan^(-1)((x^((1)/(3))+a^((1)/(3)))/(1-x^((1)/(3))a^((1)/(3)))) then find (dy)/(dx)

Differentiate tan^(-1)((3x-x^(3))/(1-3x^(2))), if x>(1)/(sqrt(3))