A certain function f(x,y), which has continuous second-order partial derivatives on R2 , has (0,0) as one of its critical points. If fxx (0,0)=0 and fxy(0,0)=1, what is the classification of (0,0)?
A certain function f(x,y), which has continuous second-order partial derivatives on R2 , has (0,0) as one of its critical points. If fxx (0,0)=0 and fxy(0,0)=1, what is the classification of (0,0)?
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
Section9.2: Partial Derivatives
Problem 28E
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A certain function f(x,y), which has continuous second-order partial derivatives on R2 , has (0,0) as one of its critical points. If fxx (0,0)=0 and fxy(0,0)=1, what is the classification of (0,0)?
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