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 - Page 188: 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).
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