Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.1 Exercises - Page 325: 53


$\displaystyle \frac{1-2\ln t}{t^{3}}$

Work Step by Step

Quotient rule, with $\displaystyle \frac{d}{dt}\ln t=\frac{1}{t}$ $g^{\prime}(t)=\displaystyle \frac{(\frac{1}{t})\cdot t^{2}-\ln t\cdot(2t)}{(t^{2})^{2}}=\frac{t-2t\ln t}{t^{4}}=\frac{t(1-2\ln t)}{t^{4}}=\frac{(1-2\ln t)}{t^{3}}$
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.