Answer
$D_u f =\nabla f \cdot u$
Work Step by Step
We know that the directional derivative $D_u f$ is a scalar component. The scalar component of $\nabla f$ in $u$'s direction at $P_o$ is $\nabla f \cdot u=D_u f $.
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 13 - Section 13.5 - Directional Derivatives and Gradient Vectors - Exercises - Page 721: 37
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