If `x^3-y^3+3x y^2-3x^2y+1=0`, then at `(0,1)(dy)/(dx)` equals-

If x^(3)-y^(3)+3xy^(2)-3x^(2)y+1=0, then at (0,1)(dy)/(dx) equals-

If x^(3)-y^(3)+3xy^(2)-3x^(2)y+1=0 then at (0,1)(dy)/(dx)=

3x^(2)y+(dy)/(dx)=0

(x^3+3x y^2)dx+(y^3+3x^2y)dy=0

If 3x^(2) + 4xy +2y^(2) + x -8=0 then ((dy)/(dx))_((-1,3)) =

If 2x^(2)+3y+5y^(2)+x+9=0," then "((dy)/(dx))at(-1,-1) is

If y=(sin^(-1) x)/(sqrt(1-x^2)) , then show that (1-x^2)(d^2y)/(dx^2)-3x(dy)/(dx)-y=0 .

(2x -2y+3) dx -(x-y+1) dy=0 , " when" x=0, y=1

If y=f(x) is solution of differentiable equation (dy)/(dx)=y/x((1-3x^(2)y^(3)))/((2x^(2)y^(3)+1)) , then ( f(x).x)^(3) is equal to

If y=f(x) is solution of differentiable equation (dy)/(dx)=y/x((1-3x^(2)y^(3)))/((2x^(2)y^(3)+1)) , then ( f(x).x)^(3) is equal to