Consider the function z = x¹y 21x6 +2187y. 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: (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 be determined)

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