Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Multivariable Calculus
Partial Derivatives
Exponential Functions
Formulas
f_x(x, y) = 2x e^(-x - 2y) + x^2 (-1) e^(-x - 2y)
f_y(x, y) = x^2 (-2) e^(-x - 2y)
f_{yy}(x, y) = 4x^2 e^(-x - 2y)
Theorems
Product Rule
Chain Rule
Suitable Grade Level
University level (Calculus III)