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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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