Find the local maximum of f(x,y) = xy(1-x-y) Find the critical point(s) and check the value of D = f f xxyy - xy at the critical point(s)

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.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 2YT
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Find the local maximum of
f(x,y) = xy(1-x−y)
Find the critical point(s) and check the value of D = ƒ_ƒ¸
xxyy
-P₂P
at the critical point(s)
Transcribed Image Text:Find the local maximum of f(x,y) = xy(1-x−y) Find the critical point(s) and check the value of D = ƒ_ƒ¸ xxyy -P₂P at the critical point(s)
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