Calculus with Applications (10th Edition)

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

Chapter 3 - The Derivative - 3.4 Definition of the Derivative - 3.4 Exercises - Page 177: 49

Answer

$a) -4p-4+0$ $b) -44$ The increase in demand is at the rate of $44$ items for each increase of one dollar.

Work Step by Step

$a) D(p) = -2p^2-4p+300$ The rate of change can be ascertained by differentiating the function with respect to $p$. $\implies D'(p) = -4p-4+0=-4p-4$ This is the rate of change of demand with respect to price. $b) D'(10) = -4(10)-4 = -44$
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.