Math Problem Statement
Options are "local min" "local max" and "neither max or min"
Solution
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Math Problem Analysis
Mathematical Concepts
Critical points
Differentiation
Polynomial functions
Formulas
First derivative of f(x): f'(x) = -20x^4 + 60x^3 + 60x^2
Quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a
Theorems
Critical points occur where the first derivative is zero or undefined.
Suitable Grade Level
Grades 11-12
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