Calculus: Early Transcendentals 8th Edition

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

Chapter 3 - Review - Exercises: 21

Answer

$y'=(3^{xln(x)})(ln(3))(1+ln(x))$

Work Step by Step

Start with the function $y=3^{xln(x)}$. Apply exponential rule to differentiate: $y'=(3^{xln(x)})ln(3)(\frac{d}{dx}(x(ln(x))))$. Use product rule to differentiate $xln(x)$: $y'=(3^{xln(x)})(ln(3))(\frac{x}{x}+1*ln(x))$. Simplify to arrive at the final answer: $y'=(3^{xln(x)})(ln(3))(1+ln(x))$.
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.