Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Derivative Analysis
Critical Points
Intervals of Increase/Decrease
Relative Extrema
Concavity
Inflection Points
Formulas
f'(x) = 0 for critical points
Concave up/down based on sign of f''(x)
Relative extrema occur where f'(x) changes sign
Theorems
First Derivative Test
Second Derivative Test
Suitable Grade Level
Grades 10-12
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