If `y=sin^(-1)((2x)/(1+x^2)),` then find `(dy)/(dx)`

If y=tan^(-1)((2x)/(1-x^2))" find "(dy)/(dx) .

Given y=cos^(-1)((1-x^(2))/(1+x^(2))) find (dy)/(dx)

y = sec^(-1)((1+x^(2))/(1-x^(2))), find dy/dx.

(i)If y = x^(3) + x^(2) + x +1 then dy/dx at x = 1 is 0 (ii)If y=sin^(-1)((2x)/(1+x^(2))) then dy/dx = tanx (iii) y = x^(x) dy/dx = x^(x)[1+logx] (iv) y = tan^(-1)x, dy/dx = 1/(1 + x^(2) state which pair of the statement given above are true.

Given y=cos^(-1)((1-x^2)/(1+x^2)) find dy/dx

Given y=cos^(-1)((1-x^2)/(1+x^2)) find dy/dx

y = tan^(-1)((3x-x^(3))/(1-3x^(2))), find dy/dx.