# Math Help - Finding x-coordinates of a curve where the tangent line is vertical.

1. ## Finding x-coordinates of a curve where the tangent line is vertical.

Oh, boy.

The equation is as follows..
xy^2-x^3y=6

the derivative is (3x^2y-y^2)/(2xy-x^3)

So I set the denominator equal to zero, and solve..
2xy-x^2 = 0
x(2y-x^2)=0
x=0 y=x^2/2

Now what!!?