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: 64


$ f_{xv}=0$

Work Step by Step

We first differentiate with respect to $ x $; then we have $$ f_x=\frac{2x}{3y^2+\ln(2+u^2)}.$$ Then, we compute $ f_{xv}$, which gives directly $$ f_{xv}=0.$$ Now, we have $$ f_{uvxyvu}=0.$$
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