For the functions f(x,y) = 3 × y – x³ - y³ , which options are correct (there are more than one option) O1. (-1, -1) is a critical point in which function have local minimum | II. (1, 1) is a critical point in which function have local maximum ) III. (2, 2) is a critical point in which function have local minimum IV. (0, 0) is a critical point which is 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
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For the functions f(x,y) = 3 × y – x³ - y³ , which options are correct (there are more than one option)
O1. (-1, -1) is a critical point in which function have local minimum
| II. (1, 1) is a critical point in which function have local maximum
) III. (2, 2) is a critical point in which function have local minimum
IV. (0, 0) is a critical point which is saddle point.
Transcribed Image Text:For the functions f(x,y) = 3 × y – x³ - y³ , which options are correct (there are more than one option) O1. (-1, -1) is a critical point in which function have local minimum | II. (1, 1) is a critical point in which function have local maximum ) III. (2, 2) is a critical point in which function have local minimum IV. (0, 0) is a critical point which is saddle point.
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