Thomas' Calculus 13th Edition

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

Chapter 3: Derivatives - Section 3.2 - The Derivative as a Function - Exercises 3.2 - Page 115: 7

Answer

$6x^{2}$

Work Step by Step

$\frac{d}{dx}(2x^{3})$= 2.$\frac{d}{dx}(x^{3})$ (using product rule) =$2(3x^{2})$ (As $\frac{d}{dx}(x^{n})= nx^{n-1})$ =$ 6x^{2}$
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