Answer
$$\frac{d}{dx}\left( \frac{ax+b}{cx+d}\right)
=\frac{da-bc}{(cx+d)^2}.$$
Work Step by Step
By the quotient rule, we have
$$\frac{d}{dx}\left( \frac{ax+b}{cx+d}\right)=\frac{(cx+d)(a)-(ax+b)(c)}{(cx+d)^2}\\
=\frac{da-bc}{(cx+d)^2}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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
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