Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.3 Introduction To Techniques Of Differentiation - Exercises Set 2.3 - Page 140: 34



Work Step by Step

A cubic function is any function where the highest degree is three, so it can be written as any function $f(x)=ax^3+bx^2+cx+d$, where $a\ne0$. The derivative of $f(x)$ is $f'(x)=3ax^2+2bx+c$. A quadratic polynomial is a polynomial whose highest degree is two. Since $a$ cannot equal zero, the highest degree must be two and the derivative must be a quadratic polynomial.
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.