Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Chain Rule
Trigonometric Functions

Formulas

Chain Rule: (f(g(x)))' = f'(g(x)) * g'(x)
Derivative of sin^2(x): d/dx[sin^2(x)] = 2sin(x)cos(x) = sin(2x)

Theorems

Chain Rule
Product Rule

Suitable Grade Level

Undergraduate Calculus (Grades 11-12 and above)