Math Problem Statement
Critical points of f(x)=4x^3+24x^2
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Critical Points
Second Derivative Test
Formulas
f'(x) = d/dx(4x^3 + 24x^2) = 12x^2 + 48x
f''(x) = d/dx(12x^2 + 48x) = 24x + 48
Theorems
Second Derivative Test
Suitable Grade Level
Grades 10-12
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