Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Logarithmic Differentiation
Implicit Differentiation
Product Rule
Chain Rule
Formulas
y = x^(x+1)
ln(y) = (x+1) * ln(x)
dy/dx = x^(x+1) * (ln(x) + 1 + 1/x)
Theorems
Logarithmic differentiation theorem
Suitable Grade Level
Undergraduate Calculus or Advanced High School