# Chapter 2 - Differentiation - 2.3 Exercises: 23

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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