Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivative
Critical Points
Intervals of Increase and Decrease
Local Extrema
Formulas
Derivative = 0 for critical points
Sign changes in f'(x) to find intervals of increase and decrease
Local minima and maxima determined by derivative sign changes
Theorems
First Derivative Test
Suitable Grade Level
Grade 12 / Early College
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