Let f be a function that admits second continuous partial derivatives on which is know what: ∇f(x, y) = (3x2 - 300, 3y2 - 75) and fxx = 6x, fyy = 6y. A critical point of f that generates a relative maximum is: Answers in the picture:

Let f be a function that admits second continuous partial derivatives on which is know what: ∇f(x, y) = (3x2 - 300, 3y2 - 75) and fxx = 6x, fyy = 6y. A critical point of f that generates a relative maximum is: Answers in the picture:

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.3: Rules For Addition

Problem 7P

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Question

Let f be a function that admits second continuous partial derivatives on which is know what:

∇f(x, y) = (3x² - 300, 3y² - 75)

and fxx = 6x, fyy = 6y. A critical point of f that generates a relative maximum is:

Answers in the picture:

A) (10, 5)
В) (5, 10)
С) (-5, —10)
D) (–10, –5)

Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .

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