Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 14 - Review - Concept Check - Page 981: 6

Answer

See the explanation below.

Work Step by Step

Clairaut's Theorem states: 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 functions $f_{xy},f_{yx}$ are both continuous on the domain, then the following is true: $f_{xy}(a,b)=f_{yx}(a,b)$
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