Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 14: Partial Derivatives - Practice Exercises - Page 864: 28

Answer

$f_{xx}=0$ $f_{yy}=2-Cos(y)+7e^{y}$ $f_{xy}=f_{yx}=-3$

Work Step by Step

$f(x,y)=y^{2}-3xy+Cos(y)+7e^{y}$ $f_{x}=-3y$ $f_{xx}=0$ $f_{yx}=-3$ $f_{y}=2y-3x-Sin(y)+7e^{y}$ $f_{yy}=2-Cos(y)+7e^{y}$ $f_{xy}=f_{yx}=-3$
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