## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Calculus

Critical Points

Second Derivative Test

Optimization

Periodic Functions

### Formulas

Derivative: dy/dx = f'(x)

Second Derivative: d^2y/dx^2

Quadratic Function

Trigonometric Derivatives

Lennard-Jones Potential

### Theorems

Second Derivative Test

Critical Point Analysis

### Suitable Grade Level

Undergraduate Calculus

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