IF `y=tan^-1((sqrtx-x)/(1+x)^(3/2))` then y'(1) is

If y=tan^(-1)((sqrt(x)-x)/(1+x^((3)/(2)))), then y'(1) is:

If y=tan n^(-1) ((sqrtx(3-x))/( 1-3x) ) ,then (dy)/(dx) =

If y = tan^(-1) ((1)/(1 + x + x^(2))) + tan^(-1) ((1) /(x^(2) + 2x + 3)) + tan^(-1) ((1)/(x^(2) + 5x + 7)) + ….n terms , then y(0) is

If y=sec^(-1) ((sqrtx-1)/(x+sqrtx))+sin^(-1) ((x+sqrtx)/(sqrtx-1))," then " (dy)/(dx)=

Prove that tan^-1((sqrtx + sqrty)/(1 - (sqrtxy)) = tan^-1 sqrt x + tan^-1 sqrty , x > 0, y > 0, x y < 1

If alpha=tan^(-1)((sqrt(3)x)/(2y-x)),beta=tan^(-1)((2x-y)/(sqrt(3y)))" then "alpha-beta=

tan^(-1)""(x-y)/(1+xy)+tan^(-1)""(y-z)/(1+yz)+tan^(-1)""(z-x)/(1+zx) =tan^(-1)""(x^(2)-y^(2))/(1+x^(2)y^(2))+tan^(-1)""(y^(2)-z^(2))/(1+y^(2)z^(2))+tan^(-1) ""(z^(2)-x^(2))/(1+z^(2)x^(2))

2.If y=(4/x^2)+sqrtx-(1/sqrtx) , then y'=?