Consider the fiunction f(x, y) = 6y2 + 4x2 - 12xy-4y. Then:O (1,-2/3) is a critical point and f has a local minimum at (-1,-2/3)O (1,1) is a critical point and f has a local maximum at (1,1)O None of theseO (-1,-2/3) is a critical point and f has a saddle point at (-1,-2/3)

Calculate fx, fy , fxx , fyy , fxy for f(x,y) =6y2+4x2-12xy-4y as follows. f(x,y)…

Answered: Consider the fiunction f(x, y) = 6y² +…

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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Consider the fiunction f(x, y) = 6y² + 4x² - 12xy- 4y. Then: O (1,-2/3) is a critical point and f has a local minimum at (-1,-2/3) O (1,1) is a critical point and f has a local maximum at (1,1) O None of these O (-1,-2/3) is a critical point and f has a saddle point at (-1,-2/3)