Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Section 3.1 - Derivatives of Polynomials and Exponential Functions - 3.1 Exercises - Page 180: 9

Answer

$2x-6x^2$

Work Step by Step

First distribute the $x^2$ $x^2(1-2x)=x^2-2x^3$ Then look at each term separately using sum/difference rule. $\frac{d}{dx}(x^2)-\frac{d}{dx}(2x^3)$ Finally, take the derivative using the general power and constant multiple rule. $2x^1-2*3x^2$
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