Answer
$dz=1.22$
Work Step by Step
We are given $z=6x^{2}-7y^{2}+4xy$
$f_{x}(x,y)=12x+4y$
$f_{y}(x,y)=-14y+4x$
By the definition $dz=f_{x}(x,y).dx+f_{y}(x,y).dy$
with $x=3; y=-1; dx=0.03; dy=0.01$
we have $dz=(12x+4y)0.03+(-14y+4x)0.01$
$dz=1.22$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 9 - Multiveriable Calculus - Chapter Review - Review Exercises - Page 519: 59
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