Calculus (3rd Edition)

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



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.
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