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Multivariable CalculusMediumPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Medium problem

Let f(x,y)=2x3−2x2y+2x2−2xy2+3xy+3x−3y2−y+3f(x, y) = 2 x^{3} - 2 x^{2} y + 2 x^{2} - 2 x y^{2} + 3 x y + 3 x - 3 y^{2} - y + 3. Find fxy(1,−1)f_{xy}(1, -1).