Given a function f, explain the relationship between the

Chapter 11, Problem 5E

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QUESTION:

Given a function f, explain the relationship between the gradient and the level curves of f.

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QUESTION:

Given a function f, explain the relationship between the gradient and the level curves of f.

ANSWER:

Solution 5E

Step 1 of 2:

Grad f (or  ∇f) is perpendicular to the level curves of f .(or the magnitude of  ∇f)is the rate of change of f in the direction of grad f.

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