Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Logarithmic Differentiation
Formulas
Derivative of x^x: d/dx(x^x) = x^x(ln(x) + 1)
Implicit differentiation for y^y: d/dx(y^y) = y^y(ln(y) + 1)(dy/dx)
Theorems
Chain Rule
Product Rule
Logarithmic Differentiation
Suitable Grade Level
University-level Calculus