Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.2 The Derivative as a Function - 2.2 Exercises - Page 127: 23

Answer

$f'(x) = -6x^{2} + 2x$ Domain: All Real Numbers

Work Step by Step

$f(x) = x^{2} - 2x^{3}$ $f'(x) = (2)x^{2-1} - (3)2x^{3-1}$ $f'(x) = -6x^{2} + 2x$ Domain is all real numbers because there are no values of x that would make f'(x) undefined
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