Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 16 - Vector Calculus - 16.1 Exercises: 21

Answer

$\lt(1+xy)e^{xy},x^2e^{xy}\gt$

Work Step by Step

$f_x(x,y)=e^{xy}+xy^{xy}$ $f_y(x,y)=x^2e^{xy}$ Gradient vector field of $f$ is: $\lt(1+xy)e^{xy},x^2e^{xy}\gt$
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