Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Composite Functions
Chain Rule
Formulas
Difference quotient: f'(x) = lim(h -> 0) [f(x+h) - f(x)] / h
Chain rule: d/dx [f(g(x))] = f'(g(x)) * g'(x)
Higher-order derivatives: d^3y/dx^3
Theorems
Chain Rule
Higher-Order Derivative Rules
Suitable Grade Level
Undergraduate Calculus
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