Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Differentiation
Chain Rule
Product Rule

Formulas

y' = -sin(sin(3θ)) * 3cos(3θ)
y'' = -9 [cos(sin(3θ)) * cos²(3θ) - sin(sin(3θ)) * sin(3θ)]

Theorems

Chain Rule: If y = f(g(x)), then dy/dx = f'(g(x)) * g'(x)
Product Rule: If y = uv, then dy/dx = u'v + uv'

Suitable Grade Level

Grades 11-12