Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Differentiation
Cubic Functions
Polynomial Derivatives
Horizontal Tangents
Formulas
f(x) = ax^3 + bx^2 + cx + d
f'(x) = 3ax^2 + 2bx + c
Theorems
Derivatives and Horizontal Tangents Theorem
Polynomial Function Behavior
Suitable Grade Level
Grades 11-12 (High School Calculus)