How do i find the singular points of the following curve in A^2(C) OR prove that there are no singular points? (where A is affine space and C is complex numbers)
The curve is
Taking partial derivatives i get the jacobian matrix
J = (2x(y^2)-12x+2y 2(x^2)y+2x-12y)
I do not know how to proceed from here.
Any help is appreciated.