Suppose that the maximum of (x, y) subject to the constraint g(x, y) = 0 occurs at

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Suppose that the maximum of ƒ(x, y) subject to the constraint g(x, y) = 0 occurs at a point P = (a, b) such that ∇ƒP ≠ 0. Which of the following statements is true?

(a) Vfp is tangent to g(x, y) = 0 at P. (b) Vfp is orthogonal to g(x, y) = 0 at P.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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