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