Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Practice Exercises - Page 243: 16

Answer

See explanations.

Work Step by Step

Step 1. Given $F'(x)=3$, we can find its general antiderivative as $F(x)=3x+C$, where $C$ is a constant. Step 2. There will be an unlimited number of functions whose derivative is $3$; this is because $C$ can be any constant.
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