Answer
False
Work Step by Step
We are given $f(x,y)=3x^{2}+2xy+y^{2}$
This can be simplified to:
$f(x+h,y)=3(x+h)^{2}+2(x+h)y+y^{2}$
Thus, the given statement is false.
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 518: 5
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