[tex]z=4(x-y)-x^2-y^2=4x-4y-x^2-y^2\\\dfrac{\partial z}{\partial y}=-4-2y[/tex]
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[tex]z=4(x-y)-x^2-y^2=4x-4y-x^2-y^2\\\dfrac{\partial z}{\partial y}=-4-2y[/tex]