Let f(x, y) 6x² 2x³ - 3y² + 6ay. This function has critical points at (0, 0) and (3, 3). Determine if these points are a local

Question

Let f(x, y) 6x² 2x³ - 3y² + 6ay. This function has critical points at (0, 0) and (3, 3). Determine if these points are a local
maximum, local minimum, or a saddle point.
(0, 0) is a [Select]
(3, 3) is a [Select]

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