## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Implicit Differentiation

Logarithmic Differentiation

Product Rule

Chain Rule

Trigonometric Derivatives

### Formulas

Product rule: d(uv)/dx = u dv/dx + v du/dx

Chain rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)

Logarithmic differentiation: d/dx [x^u] = x^u (u'/u)

### Theorems

Product rule for differentiation

Chain rule for differentiation

### Suitable Grade Level

Grades 11-12

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