## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Calculus

Critical Numbers

Increasing/Decreasing Intervals

Relative Extrema

### Formulas

Critical numbers are where the derivative f'(x) = 0 or undefined

Increasing/Decreasing intervals are determined by the sign of f'(x)

Relative extrema occur where f changes from increasing to decreasing or vice versa

### Theorems

First Derivative Test

Critical Point Theorem

### Suitable Grade Level

Grades 11-12, College-level Calculus

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