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: 7

Answer

$=-\frac{7}{3}x^{6}-\frac{2}{3}$.

Work Step by Step

Distribute the $-\frac{1}{3}$ through to get $-\frac{1}{3}x^{7}-\frac{2}{3}x+3$. Finally, use the power rule for derivatives ($[x^{n}]'=nx^{n-1}$) to get $-\frac{7}{3}x^{7-1}-\frac{2}{3}+0=-\frac{7}{3}x^{6}-\frac{2}{3}.$
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