Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.3 Exercises: 130

Answer

True.

Work Step by Step

You can expand the whole expression and differentiate everything (long and unnecessary) or you can realize that the highest term is $x^4.$ The fifth derivative of $x^4$ is $0$ hence $\dfrac{d^5y}{dx^5}=0.$
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