Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Utility Function
Differentiation
Economics
Calculus

Formulas

First Derivative: u'(x) = (1/2) * x^(-1/2)
Second Derivative: u''(x) = -(1/4) * x^(-3/2)

Theorems

Differentiation rules
Chain Rule

Suitable Grade Level

Undergraduate Level - Economics/Calculus