Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Critical Points
Quadratic Functions
Derivatives

Formulas

First derivative: f'(x) = 2x - 6
Second derivative: f''(x) = 2
Critical points occur where f'(x) = 0

Theorems

Derivative Test for Critical Points
Second Derivative Test

Suitable Grade Level

Grades 10-12