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 - Preliminary Questions - Page 780: 3

Answer

(a) and (c)

Work Step by Step

(a) should be evaluated without using the Quotient Rule because we are deriving with respect to $x$ and there is no $x$ in the denominator. (b) should be evaluated using the Quotient Rule because we are deriving with respect to $y$ and there is a $y$ in the denominator. (c) should be evaluated without using the Quotient Rule because we are deriving with respect to $x$ and there is no $x$ in the denominator.
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