## Math Problem Statement

diffrerentiate y=x power x

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Calculus

Differentiation

Logarithmic Differentiation

### Formulas

Derivative of a product: (uv)' = u'v + uv'

Logarithmic identity: ln(a^b) = b * ln(a)

Implicit differentiation

### Theorems

Product Rule

Chain Rule

Logarithmic Differentiation

### Suitable Grade Level

Grades 11-12, College Level