Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 14 - Partial Derivatives - Review - True-False Quiz: 6

Answer

False

Work Step by Step

For $F$ to be differentiable at $(a,b)$ it is not enough to say that $f_{x}(a, b)$ and $f_{y}(a, b)$ both exist, however, they must both also be continuous at $(a, b)$. Hence, the statement is false.
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