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: 67


$$ F_{rst}=0.$$

Work Step by Step

Since $ F(r,s,t)=r(s^2+t^2)$, then we have $$ F_{r}= s^2+t^2,\quad F_{rs}=2s .$$ Then, we have $$ F_{rst}=0.$$
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