f(x, y) = (8x-x²) (10y - y²). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. f = fy= fzz = fry = fyy 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 ( ) Classification: (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is ( ) Classification: be determined) The critical point with the next smallest x-coordinate is ( ) Classification: be determined) The critical point with the next smallest x-coordinate is ( ) Classification: be determined) The critical point with the next smallest x-coordinate is ( ) Classification: be determined) (local minimum, local maximum, saddle point, cannot (local minimum, local maximum, saddle point, cannot (local minimum, local maximum, saddle point, cannot (local minimum, local maximum, saddle point, cannot