Suppose that is a smooth curve in the domain of a

Chapter , Problem 16AAE

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Suppose that is a smooth curve in the domain of a differentiable function ƒ(x, y, z). Describe the relation between dƒ dt, and v=dr/dt. What can be said about and v at interior points of the curve where ƒ has extreme values relative to its other values on the curve? Give reasons for your answer.

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