Suppose (7-8) is a critical point of the function g(x,ys, which has continous second order partial derivatives. Suppose further that (7₁-8)= -3, gxy (7₁-8) = 2, (7₁-8)=0 gxx Determine whether (7.-8) is a local maximum, a local minimum, or a Saddle point of the function g. gyy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4
및
Suppose (7₁-8) is a
critical
point of the function grx,y), which
has contious second order partial derivatives. Suppose further that
9xx (7.-8) = - 3, Джу(7,-8) =2, дуу
Determine whether (7-8) is a local maximum, a
saddle point of the function g.
(7₁-8)=0
local
minimum or a
Transcribed Image Text:및 Suppose (7₁-8) is a critical point of the function grx,y), which has contious second order partial derivatives. Suppose further that 9xx (7.-8) = - 3, Джу(7,-8) =2, дуу Determine whether (7-8) is a local maximum, a saddle point of the function g. (7₁-8)=0 local minimum or a
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