University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 13 - Section 13.3 - Partial Derivatives - Exercises - Page 703: 63



Work Step by Step

$f_x(1,2,3)=\lim\limits_{h \to 0} \dfrac{f(x_0,y_0,z_0+h,y_0)-f(x_0,y_0,z_0)}{h}=\lim\limits_{h \to 0} \dfrac{f(1,2,3+h)-f(1,2,3)}{h}$ or, $=\lim\limits_{h \to 0} \dfrac{(18+12h+h^2)-18}{h}$ or, $=\lim\limits_{h \to 0} (12+2h)$ or, $=12$
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