Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 14: Partial Derivatives - Section 14.6 - Tangent Planes and Differentials - Exercises 14.6 - Page 835: 52

Answer

A)The function is 2 times more sensitive to x than y as every 1 change in x equal 2 changes in y B)ratio of dy/dx= -1/2

Work Step by Step

By using the total differentiation rule $f’= df/dx (dx) + df/dy (dy) and by substituting in the values of partial differentiation of x and y in the equation we will reach the answer.
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