Answer
$$\frac{\partial{f}}{\partial{x}}=-3y,\quad\frac{\partial{f}}{\partial{y}}=5y^{4}-3x$$
Work Step by Step
$$f(x,y)=y^{5}-3xy$$
$$\frac{\partial{f}}{\partial{x}}=-3y,\quad\frac{\partial{f}}{\partial{y}}=5y^{4}-3x$$
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 14 - Partial Derivatives - 14.3 Exercises - Page 936: 15
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