Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 17 - Line and Surface Integrals - 17.1 Vector Fields - Preliminary Questions - Page 918: 4


$$f_1(x,y,z)=xyz+1.$$ (Other answers are possible.)

Work Step by Step

To get an example of a potential function for the vector $\langle yz,xz,xy \rangle $, we add a constant to the function $f=xyz$. For instance, we can get the function: $$f_1(x,y,z)=xyz+1.$$
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