## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Differentiation

Logarithmic Differentiation

Quotient Rule

Product Rule

Chain Rule

Implicit Differentiation

### Formulas

Derivative of ln(u): d/dx [ln(u)] = 1/u * du/dx

Product Rule: (uv)' = u'v + uv'

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

Derivative of ln(x): d/dx [ln(x)] = 1/x

Implicit Differentiation

### Theorems

Chain Rule

Product Rule

Quotient Rule

Logarithmic Differentiation

### Suitable Grade Level

Grade 12, College-level Calculus

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