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