Let g(x, y) = kx^2 + y^2 4xy, where k is some constant. Determine the values of k (if any) for which the critical point at (0, 0) is a local minimum….. Let g(x, y) = kx^2 + y^2 ? 4xy, where k is some constant. Determine the values of k (if any) for which the critical point at (0, 0) is a local minimum.