Calculus (3rd Edition)

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 782: 73


$$ f(x,y)=x^2y+C$$

Work Step by Step

Take $$ f(x,y)=x^2y+C.$$ Taking the partial derivatives, we get the desired result: $$ f_x=2xy, \quad f_y =x^2.$$
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