We are standing at the point (4, 2) on the map, on a hill that can be described by the function f (x, y) = xy – 3x² – 2y² + 36x + 20y. We begin to walk directly toward the point (7,6) on the map. Find the rate of change of our elevation as we do this. Suppose we want to go up the hill from (4,2) as rapidly as possible. Describe the direction we should go.

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A: Given equation (10-x)y2=x3 Formula for slope at a point is slope= dy/dx  at that point

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A:

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A: We can find the answer as below

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A: