#### Answer

$$L(x,y)=f(a,b)+f_x(a,b)(x-a)+f_y(y-b).$$

#### Work Step by Step

The linearization of $f(x,y)$ at $(a,b)$ is defined by $$L(x,y)=f(a,b)+f_x(a,b)(x-a)+f_y(y-b).$$

Chegg costs money, GradeSaver solutions are free!

Published by
W. H. Freeman

ISBN 10:
1464125260

ISBN 13:
978-1-46412-526-3

$$L(x,y)=f(a,b)+f_x(a,b)(x-a)+f_y(y-b).$$

The linearization of $f(x,y)$ at $(a,b)$ is defined by $$L(x,y)=f(a,b)+f_x(a,b)(x-a)+f_y(y-b).$$

You can help us out by revising, improving and updating this answer.

Update this answerAfter you claim an answer you’ll have **24 hours** to send in a draft. An editor
will review the submission and either publish your submission or provide feedback.