Calculus 8th Edition

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

Chapter 14 - Partial Derivatives - 14.3 Partial Derivatives - 14.3 Exercises - Page 965: 73


$\approx 12.2$; $\approx 16.8$ and $\approx 23.25$

Work Step by Step

The rate of change in the x-direction is given as: $f_x(3,2)=\dfrac{22.4-10.2}{3.5-2.5} \approx 12.2$ and $f_x(3,2.2)=\dfrac{26.1-9.3}{3.5-2.5} \approx 16.8$ Also, $f_{xy}(3,2)=\dfrac{(26.1-9.3)-(20.0-12.5)}{2.2-1.8} \approx 23.25$
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