Question: Given the function ( z = x^2y + xy^2 ), calculate the partial derivatives ( frac{partial z}{partial x} ) and ( frac{partial z}{partial y} ).

  • Given the function ( z = x^2y + xy^2 ), calculate the partial derivatives ( \frac{\partial z}{\partial x} ) and ( \frac{\partial z}{\partial y} ). Then, find the mixed second-order partial derivative ( \frac{\partial^2 z}{\partial x \partial y} ).

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