Calculus 8th Edition

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

Chapter 14 - Partial Derivatives - Review - True-False Quiz: 3

Answer

false

Work Step by Step

Since, $f_{xy}=(f_{x})_{y}=\frac{∂}{∂y}(\frac{∂f}{∂x})=\frac{∂^{2}f}{∂y∂x}$ Hence, the statement is false but it is true by the Clairaut's Theorem, that is, $f_{xy} = f_{yx}$.
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