Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 2 - Section 2.8 - The Derivative as a Function - 2.8 Exercises - Page 164: 38

Answer

We can estimate the values of $W'(x)$: $x = 15.5: W'(x) = -2.82$ $x = 17.7: W'(x) = -3.87$ $x = 20.0: W'(x) = -4.53$ $x = 22.4: W'(x) = -6.73$ $x = 24.4: W'(x) = -9.75$ We can use the estimates of $W'(x)$ to sketch the graph of $W'(x)$ The units of $W'(x)$ are grams per degree Celsius.

Work Step by Step

We can estimate the values of $W'(x)$: $x = 15.5: W'(x) = \frac{31.0-37.2}{17.7-15.5} = -2.82$ $x = 17.7: W'(x) = \frac{19.8-37.2}{20.0-15.5} = -3.87$ $x = 20.0: W'(x) = \frac{9.7-31.0}{22.4-17.7} = -4.53$ $x = 22.4: W'(x) = \frac{-9.8-19.8}{24.4-20.0} = -6.73$ $x = 24.4: W'(x) = \frac{-9.8-9.7}{24.4-22.4} = -9.75$ We can use the estimates of $W'(x)$ to sketch the graph of $W'(x)$ The units of $W'(x)$ are grams per degree Celsius.
Update this answer!

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

Update this answer

After 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.