Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Graph Analysis
Formulas
f'(x) = 0 at critical points (local maxima and minima)
f'(x) > 0 when f(x) is increasing
f'(x) < 0 when f(x) is decreasing
Theorems
Critical Points Theorem
First Derivative Test
Suitable Grade Level
Grades 10-12 (Calculus)
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