Answer
The statement is true.
Work Step by Step
According to Theorem 4, a differentiable function increases at the maximum rate $||\nabla {f_P}||$ in the direction of $\nabla {f_P}$. So, the statement is true.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 15 - Differentiation in Several Variables - 15.5 The Gradient and Directional Derivatives - Preliminary Questions - Page 800: 2
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