The function $f(x,y)=200+0.02x^2-0.0001y^3$ represent the depth of the river. A boat is moving from $(80, 60)$ to $(0, 0)$. The question is: is the river getting deeper or shallower when boat moving. We can take the straight line path joining the points and check the depth in that path. Is it possible? But I have no idea how to do it. Can anyone help?
2026-04-24 04:28:32.1777004912
Checking whether the two variable function is increasing or decreasing over a path
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