(b)Given that one of the critical points for the function f(x, y) = xy – x²y- xy is(0.4, /0.2).i.Differentiate f,, f,, fx. Sy and fy.ii.Determine whether the given critical point is a local maximum, localminimum or a saddle point.

Answered: Image /qna-images/answer/f56c189b-1bc3-40f2-aa94-063baac1e5f2.jpg

Answered: (b) Given that one of the critical…

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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(b) Given that one of the critical points for the function f(x, y) = xy–*y-xy' is (0.4, V0.2). i. Differentiate fa, f,» fær Sy and fy- ii. Determine whether the given critical point is a local maximum, local minimum or a saddle point.