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: 26


$g_{xx}=e^{x}-y\times Sin(x)$ $g_{yy}=0$ $g_{xy}=g_{yx}=Cos(x)$

Work Step by Step

$g(x,y)=e^{x}+y\times Sin(x)$ $g_{x}=e^{x}+y\times Cos(x)$ $g_{xx}=e^{x}-y\times Sin(x)$ $g_{yx}=Cos(x)$ $g_{y}=Sin(x)$ $g_{yy}=0$ $g_{xy}=g_{yx}$
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