Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Section 3.6 - Derivatives of Logarithmic Functions - 3.6 Exercises - Page 223: 38



Work Step by Step

$f(x)=\log _{b}\left(3 x^{2}-2\right)\\ f^{\prime}(x)=\frac{1}{\left(3 x^{2}-2\right) \ln b} \times 6 x\\ f^{\prime}(x)=\frac{6 x}{\left(3 x^{2}-2\right) \ln b}\\ 3=\frac{6(1)}{\left(3(1)^{2}-2\right) \ln b}\\ \ln b=2\\ b=e^2$
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.