Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 13 - Partial Derivatives - 13.8 Maxima And Minima Of Functions Of Two Variables - Exercises Set 13.8 - Page 986: 26

Answer

True

Work Step by Step

A surface $f(x, y)=z$ has a saddle point at $\left(x_{0}, y_{0}\right)$ if there are two distinct vertical planes through this point such that the trace of the surface in one of the planes has a relative maximum at $\left(x_{0}, y_{0}\right)$ and the trace in the other has a relative minimum at $\left(x_{0}, y_{0}\right)$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.