Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 3 - Review - True-False Quiz - Page 269: 11

Answer

True

Work Step by Step

True. Let $p(x)=a_0x^n+a_1x^{n-1}+...+a_{n-1}x+a_n$ This is a polynomial of degree $n$ with the derivative $p'(x)=a_0nx^{n-1}+a_1(n-1)x^{n-2}+...+a_{n-1}$ which is also a polynomial of degree $n-1$.
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