Use the level curves in the figure to predict the location of the critical points of f and whether has a saddle point or a local maximum or minimum at each critical point. Then use the Second Derivatives Test to confirm your predictions. (Order your answers by their ordered pairs, from smallest to largest x.) f(x, y) = 4+x³+y³ - 3xy (x, y) = ( (x, y) = ( Select Classification : Select Classification

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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Use the level curves in the figure to predict the location of the critical points of f and whether f has a saddle point or a local maximum or minimum at each critical point. Then use the Second Derivatives Test to confirm your predictions. (Order your
answers by their ordered pairs, from smallest to largest x.)
f(x, y) = 4 + x3 + y3 – 3xy
(x, y) = (|
Select Classification +
(х, у) %3D
Select Classification
y
3.2
3.7.
4
4.2
3.7
3.2
6.
-1-
Transcribed Image Text:Use the level curves in the figure to predict the location of the critical points of f and whether f has a saddle point or a local maximum or minimum at each critical point. Then use the Second Derivatives Test to confirm your predictions. (Order your answers by their ordered pairs, from smallest to largest x.) f(x, y) = 4 + x3 + y3 – 3xy (x, y) = (| Select Classification + (х, у) %3D Select Classification y 3.2 3.7. 4 4.2 3.7 3.2 6. -1-
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