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
icon
Related questions
Question

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)? 

 

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Application of Partial Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,