Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - 3.4 The Product and Quotient Rules - 3.4 Exercises: 75

Answer

-1.5

Work Step by Step

$\frac{d}{dx}(\frac{f(x)}{g(x)})$ evaluated @ x=2 $=\frac{g(x)f'(x)-f(x)g'(x)}{g(x)^{2}}$ $=\frac{g(2)f'(2)-f(2)g'(2)}{g(2)^{2}}$ $=\frac{2\times5-4\times4}{2^{2}}$ $=\frac{-6}{4}$ $=-1.5$
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