Answer
$D_u f =\nabla f \cdot u$
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: $D_u f =\nabla f \cdot u$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
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
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