## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Implicit Differentiation

Chain Rule

Algebraic Manipulation

### Formulas

Implicit differentiation: d/dx(f(x, y) = g(x, y))

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

### Theorems

Chain Rule

Implicit Differentiation

### Suitable Grade Level

Grades 11-12 (Advanced Calculus or Pre-Calculus)