MathAnalysisCalculusMultivariable calculus

Partial derivatives

Mixed derivatives

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If $f(x, y) = x^3y^2 - x^2y + x + y$ , then

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\dfrac{\partial^2 f}{\partial y \partial x}=\dfrac{\partial^2 f}{\partial x \partial y}

\dfrac{\partial^2 f}{\partial y \partial x}\neq\dfrac{\partial^2 f}{\partial x \partial y}

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