Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 14 - Partial Derivatives - 14.1 Functions of Several Variables - 14.1 Exercises - Page 942: 61


This function is on graphs C and II.

Work Step by Step

This function is presented on the graph $C$ and its level curves are on the graph II. This is because this function is periodical in the product of $xy$. This product grows most rapidly along the lines $x=y$ and $x=-y$ and we see that this function oscillates with greatest frequency along these lines. This is also reflected on the graph II because there the level curves get denser along the mentioned lines.
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