Calculus: Early Transcendentals 8th Edition

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

Chapter 3 - Section 3.2 - The Product and Quotient Rules - 3.2 Exercises: 42

Answer

$g^{n}(x)=(x-n) (-1)^{n} (e^{-x})$

Work Step by Step

Find the first, second, and third derivatives of g(x) to notice the pattern which allows you to write a formula for any derivative of g(x). See the picture for g'(x), g"(x), and g'''(x).
Small 1509944946
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.