Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.3 Product and Quotient Rules - Exercises - Page 122: 38


$$\frac{d}{dx}\left( \frac{ax+b}{cx+d}\right) =\frac{da-bc}{(cx+d)^2}.$$

Work Step by Step

By the quotient rule, we have $$\frac{d}{dx}\left( \frac{ax+b}{cx+d}\right)=\frac{(cx+d)(a)-(ax+b)(c)}{(cx+d)^2}\\ =\frac{da-bc}{(cx+d)^2}.$$
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.