Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 15 - Differentiation in Several Variables - 15.3 Partial Derivatives - Exercises - Page 781: 11

Answer

In the $NW$ compass direction.

Work Step by Step

Starting from point $B$, $f$ increases most rapidly in the direction that takes us to the closest point on the next highest level curve. From Figure 8 we see that this can be achieved if we move in the $NW$ compass direction.
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