Math Problem Statement
Find all second partial derivatives of f(x, y) = e xy sin x
Solution
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Math Problem Analysis
Mathematical Concepts
Partial Derivatives
Second Partial Derivatives
Multivariable Calculus
Product Rule
Chain Rule
Formulas
First partial derivative: f_x = ∂/∂x (e^(xy) sin x), f_y = ∂/∂y (e^(xy) sin x)
Second partial derivatives: f_xx, f_xy, f_yy
Theorems
Mixed Partial Derivative Theorem (Clairaut's Theorem)
Suitable Grade Level
Undergraduate Calculus
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