Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.7 - Derivatives and Rates of Change - 2.7 Exercises - Page 151: 56

Answer

See work.

Work Step by Step

a) The meaning of this derivative is the rate (dollars/pound) at which consumers are either increasing or decreasing their consumption of coffee based upon the price of coffee (in this case $\$8$/pound). b) $f'(8)$ should be negative because the amount of coffee sold should generally decrease with an increase in price.
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