Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 11 - Polynomial and Rational Functions - Exercises to Skills Review for Chapter 11 - Page 494: 38


$$\frac{1-2\ln \left(x\right)}{3x^3}$$

Work Step by Step

Simplifying using the rules of fractions, we find: $$\frac{\frac{1}{x}\cdot \:3x^2-\ln \left(x\right)\cdot \:6x}{\left(3x^2\right)^2} \\ \frac{3x-6x\ln \left(x\right)}{3^2x^4} \\ \frac{3x\left(1-2\ln \left(x\right)\right)}{3^2x^4} \\ \frac{1-2\ln \left(x\right)}{3x^3}$$
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