Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning

Chapter 3 - Review - Exercises - Page 267: 40

Answer

$\frac{e^{y}}{1-xe^{y}}$

Work Step by Step

Start with the function $xe^{y}=y-1$. Differentiate both sides of the equation: $e^{y}+xe^{y}y'=y'$. Consolidate y' terms and factor out y': $e^{y}=y'(1-xe^{y})$. Divide by $1-xe^{y}$ to arrive at the answer: $\frac{e^{y}}{1-xe^{y}}$.

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.