Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Product Rule
Chain Rule
Trigonometric Functions

Formulas

Product Rule: (uv)' = u'v + uv'
Chain Rule: d/dx [f(g(x))] = f'(g(x)) * g'(x)
Derivative of arctan(u): d/dx [arctan(u)] = 1 / (1 + u^2)

Theorems

Product Rule for Differentiation
Chain Rule for Differentiation

Suitable Grade Level

Grades 11-12