Calculus 8th Edition

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

Chapter 14 - Partial Derivatives - Review - Exercises - Page 1022: 8

Answer

(a) Using graph we can approximate $f(3,2)\approx \frac{50+60}{2}=55$ (b) $f_x(3,2)$ is negative because functional value decreases if $x$ increases. (c) $f_y(2,1)$ is larger because level curves are closer at$(2,1)$ as compared to $(2,2)$.
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Work Step by Step

(a) Using graph we can approximate $f(3,2)\approx \frac{50+60}{2}=55$ (b) $f_x(3,2)$ is negative because functional value decreases if $x$ increases. (c) $f_y(2,1)$ is larger because level curves are closer at$(2,1)$ as compared to $(2,2)$.
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