Answer
$$
z_x=ye^{xy}, \quad z_y=xe^{xy}.
$$
Work Step by Step
Recall that $(e^x)'=e^x$
Since $ z=e^{xy}$, then by using the chain rule, we have
$$
z_x=ye^{xy}, \quad z_y=xe^{xy}.
$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 15 - Differentiation in Several Variables - 15.3 Partial Derivatives - Exercises - Page 781: 29
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