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Multivariable CalculusMediumPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Medium problem

Let f(x,y)=−2x3+x2y+3x2+2xy+y3−y2+3y+2f(x, y) = - 2 x^{3} + x^{2} y + 3 x^{2} + 2 x y + y^{3} - y^{2} + 3 y + 2. Find fxy(1,−2)f_{xy}(1, -2).