Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 9 - Multiveriable Calculus - Chapter Review - Review Exercises - Page 518: 14

Answer

We use the concept of total differential to estimate the change in productivity for a small change in both labor and capital. The differential for a function of one variable $y=f(x)$ is used to approximate the function by its tangent line. The differential for a function of two variables $z=f(x,y)$ is used to approximate a function by its tangent plane.

Work Step by Step

We use the concept of total differential to estimate the change in productivity for a small change in both labor and capital. The differential for a function of one variable $y=f(x)$ is used to approximate the function by its tangent line. The differential for a function of two variables $z=f(x,y)$ is used to approximate a function by its tangent plane.
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