A point is moving on the graph of y³ = x². When the point is at (-512, 64), its y coordinate is decreasing by 2 units per second. How fast is the x coordinate changing at that point?

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.