Answer
(b)
Work Step by Step
Since the linearization of $f$ at $(2,3)$ is $$L(x,y)=f(2,3)+f_x(2,3)(x-2)+f_y(2,3)(y-3)$$ then the right answer is (b), because (a) has a different form.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 15 - Differentiation in Several Variables - 15.4 Differentiability and Tangent Planes - Preliminary Questions - Page 789: 3
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