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
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