Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Critical Points
Intervals of Increase/Decrease
Local Maxima and Minima
Formulas
f'(x) = 0 for critical points
A function is increasing where f'(x) > 0
A function is decreasing where f'(x) < 0
Theorems
First Derivative Test for critical points
Second Derivative Test for concavity
Suitable Grade Level
Grades 11-12 or Calculus I (College)
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