Part 1 Drop Down:saddle point, local maximum, local minimum (choose one)Part 2 Drop Down:saddle point, local maximum, local minimum (choose one)Part 3 Drop Down:saddle point, local maximum, local minimum (choose one) Question 14.51 Section 14.3 Progress Check Question 3The function f(x, y) = x* + y* – 4xy has three critical points, (0,0), (1, 1) and (–1, –1). At the point(0,0), f(x, y) has a[the point (-1, –1), f(æ, y) has aat the point (1, 1), f(x,y) has a|| and atSubmit

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The function f(x, y) = xª + yª – 4.xy has three critical points, (0,0), (1, 1) and (–1, –1). At the point (0,0), f(x, y) has a| the point (-1, –1), f(æ, y) has a ], at the point (1, 1), f(x, y) has a| v and at -------- ----- --- ----

The function f(x, y) = xª + yª – 4.xy has three critical points, (0,0), (1, 1) and (–1, –1). At the point (0,0), f(x, y) has a| the point (-1, –1), f(æ, y) has a ], at the point (1, 1), f(x, y) has a| v and at -------- ----- --- ----

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Part 1 Drop Down:
saddle point, local maximum, local minimum (choose one)

Part 2 Drop Down:
saddle point, local maximum, local minimum (choose one)

Part 3 Drop Down:
saddle point, local maximum, local minimum (choose one)

Question 14.51 Section 14.3 Progress Check Question 3
The function f(x, y) = x* + y* – 4xy has three critical points, (0,0), (1, 1) and (–1, –1). At the point
(0,0), f(x, y) has a[
the point (-1, –1), f(æ, y) has a
at the point (1, 1), f(x,y) has a|
| and at
Submit

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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