Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Critical Points
Formulas
First derivative: f'(x) = (d/dx) f(x)
Quadratic formula: x = [-b ± √(b² - 4ac)] / 2a
Theorems
Critical points occur where f'(x) = 0
Increasing/Decreasing test: The sign of f'(x) determines whether the function is increasing or decreasing.
Suitable Grade Level
High School (Grades 10-12)
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