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: 18

Answer

$(2/3)x^{-2/3}+(4/3)x^{1/3}$

Work Step by Step

Distribute the $x^{1/3}$ $2x^{1/3}+x^{4/3}$ Differentiate using the power and constant multiple rule. Keep the constant, bring down the original power (n), and multiply by $x^{nāˆ’1}$ $2*(1/3)x^{-2/3}+(4/3)x^{1/3}$
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