## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Implicit Differentiation

Product Rule

Quotient Rule

Second Derivative

### Formulas

Product Rule: d(uv)/dx = u'v + uv'

Quotient Rule: d(u/v)/dx = (v u' - u v')/v^2

Implicit Differentiation: dy/dx in terms of y treated as a function of x

### Theorems

Implicit Differentiation

Product Rule

Quotient Rule

### Suitable Grade Level

College Calculus

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