Given a function f(x, y) =x² +y° +3x² – 18y² +81y +5 The function has four critical points in which one of them is a saddle point at (0,3). Find three other critical points for the function and classify them as a maximum, a minimum, or a saddle point.

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 2E
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Given a function
f (x. y) = x' +y° +3x² – 18y² +81y+5
-
The function has four critical points in which one of them is a saddle point at (0,3). Find three
other critical points for the function and classify them as a maximum, a minimum, or a saddle
point.
Transcribed Image Text:Given a function f (x. y) = x' +y° +3x² – 18y² +81y+5 - The function has four critical points in which one of them is a saddle point at (0,3). Find three other critical points for the function and classify them as a maximum, a minimum, or a saddle point.
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