Please help me

(1 point) Consider the function f(x, y) = (6x - x2)(6y - y2). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. f, = (6y-y^2)(6-2x) fy = (6X-x^2)(6-2y) fix = -2(6y-y^2) fry = (6-2x) (6-2y) fyy = -2(6X-X^2) There are several critical points to be listed. List them lexicograhically, that is in ascending order by x-coordinates, and for equal x-coordinates in ascending order by y-coordinates (e.g., (1,1), (2, -1), (2, 3) is a correct order) The critical point with the smallest x-coordinate is 3 ) Classification: saddle point (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is 3 Classification: saddle point local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is (3 6 ) Classification: saddle point local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is ( 6 3 ) Classification: saddle point (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is )Classification: local minimum, local maximum, saddle point, cannot be determined)