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: $\lt(1+xy)e^{xy},x^2e^{xy}\gt$
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 16 - Vector Calculus - 16.1 Exercises - Page 1086: 21
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