Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an answer does not exist, enter DNE.)z = 22 − x2 + xy − y2 + 36yrelative maximum (x, y, z) = Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an answer does not exist, enter DNE.)Z = 22x2 + ху — у? + 3бу(х, у, 2) %3 (| 11, 18, 423| х )relative maximum

Let the function be f(x,y)=22 − x2 + xy − y2 + 36y thus differentiate f(x,y) partially with respect…

Answered: Find the function's relative maxima,…

Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an answer does not exist, enter DNE.) z = 22 - x2 + xy – y2 + 36y

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?

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Question

Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an answer does not exist, enter DNE.)

z = 22 − x² + xy − y² + 36y

relative maximum

(x, y, z) =

Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an answer does not exist, enter DNE.)
Z = 22
x2 + ху — у? + 3бу
(х, у, 2) %3 (| 11, 18, 423| х )
relative maximum

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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