(7 points) Consider the function z = xy-54x8 + 10077696y. Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. The critical point with the smallest x-coordinate is ) Classification: 4(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) The critical point with the next smallest x-coordinate is ) Classification: (local minimum, local maximum, saddle point, cannot