Find the critical points for the function f(x, y) = x^2 - 2xy + 2y^2 - 2y and classify each as a local maximum, local minimum, saddle point, or none of these. critical points: (give your points as a comma separated list of (x, y) coordinates.) classifications: (give your answers in a comma separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points)
