Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 14: Partial Derivatives - Section 14.5 - Directional Derivatives and Gradient Vectors - Exercises 14.5 - Page 826: 37


$D_u f =\nabla f \cdot u$

Work Step by Step

The directional derivative $D_u f$ is a scalar component and the scalar component of $\nabla f$ in the direction of $u$ at a point $P_0$ can be expressed as: $D_u f =\nabla f \cdot u$
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