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: 16


a) See the explanation below. b) See the explanation below.

Work Step by Step

a) This means that when the first-order partial derivative of $f(x,y)$ exists then $f_x(a,b)=f_y(a,b)=0$ b) The critical point of $f(x,y)$ signifies that a point on $(a,b)$ when the first-order partial derivative of $f(x,y)$ does not exist that is, $f_x(a,b)=f_y(a,b)=0$
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