Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.3 Exercises - Page 125: 23

Answer

Rewrite: $4\sqrt x$ Differentiate $4(\frac{1}{2\sqrt x})$ Simplify: $\frac{2}{\sqrt x}$

Work Step by Step

Simplify: Use the Index Rule $(\frac{x^a}{x^b}=x^{a-b})$ to get $4x^{\frac{3}{2}-1}=4\sqrt x$ Differentiate: Using The Constant Multiple Rule and the Power Rule, differentiate the expression to get $4(\frac{1}{2\sqrt x})$. Simplify: Multiply out the constants.
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