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: 4

Answer

=$2x^{3}$

Work Step by Step

Distribute the $\frac{1}{2}$ through the $x^{4}+7$ to get $\frac{1}{2}x^{4}+\frac{7}{2}$. Then, use the power rule for derivatives ($[x^{n}]'=nx^{n-1}$). This gives you $\frac{4}{2}x^{3}+0=2x^{3}$.
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