Answer
$$\frac{\partial }{\partial y}(x^2+y)(x+y^4)
=x+4x^2y^3+5y^4.$$
Work Step by Step
$$\frac{\partial }{\partial y}(x^2+y)(x+y^4)=(1)(x+y^4)+(x^2+y)(4y^3)\\
=x+4x^2y^3+5y^4.$$
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 780: 2
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