Answer
True
Work Step by Step
Given: $f(x,y)=sinx+siny$
Take derivative.
$D_{u}(x,y)=cosx+cosy$
$D_{u}(x,y) \leq |∇ f(x,y)| =|cosx+cosy|$
$=\sqrt {cos^{2}x+cos^{2}y}\leq \sqrt {1+1}=\sqrt 2$
Hence, the given statement is true.
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 14 - Review - True-False Quiz - Page 1032: 11
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