Answered: 20. f(x, y) = sin x + sin y for 0

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20. f(x, y) = sin x + sin y for 0

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 37CR

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Question

Textbook practice problem number 20:
Find all critical points. For each critical point, identify if they're relative maximum, relative minimum, or a saddle point.

20. f(x, y) = sin x + sin y for 0<x<π/2,0<y<π/2

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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