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 $\dfrac{d^5y}{dx^5}=0.$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 2 - Differentiation - 2.3 Exercises - Page 128: 130
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