Math Problem Statement
Find first order partial derivative of u=x^xy
Solution
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Math Problem Analysis
Mathematical Concepts
Partial Differentiation
Exponentiation
Logarithms
Formulas
Partial derivative of u with respect to x: ∂u/∂x = x^(x^y) * (y*x^(y-1) * ln(x) + x^(y-1))
Partial derivative of u with respect to y: ∂u/∂y = x^(x^y) * (ln(x))^2
Theorems
Product Rule
Chain Rule
Suitable Grade Level
University Level (Calculus)
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