Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Derivatives
Polynomial Functions
Chain Rule
Product Rule
Formulas
f'(x) = lim(h→0) [f(x+h) - f(x)] / h
f'(x) = nx^(n-1) (for polynomial terms)
Chain Rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)
Theorems
Fundamental Theorem of Calculus
Power Rule
Chain Rule
Product Rule
Suitable Grade Level
Grades 11-12