Calculus 8th Edition

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

Chapter 14 - Partial Derivatives - Review - Concept Check - Page 1021: 6

Answer

See the explanation below.

Work Step by Step

Clairaut's Theorem states that suppose a function is considered to be written as $f(x,y)$ with two variables $x,y$ in a set of domain D of real numbers which is continuous at the point $(a,b)$ along any closed path which lies inside the domain and the function $f_{xy},f_{yx}$ are both continuous on domain when it follows the below condition: $f_{xy}(a,b)=f_{yx}(a,b)$
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