Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Critical Points
Increasing and Decreasing Functions
Local Maxima and Minima

Formulas

f'(x) = 0 for critical points
Sign of f'(x) determines increasing or decreasing behavior

Theorems

First Derivative Test
Critical Points Theorem

Suitable Grade Level

High School (Grades 11-12) / Early College