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Multivariable CalculusMediumPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Medium problem

Let f(x,y)=−2x3+3x2y+x2−2xy2+3xy+2x+2y3+y2−2f(x, y) = - 2 x^{3} + 3 x^{2} y + x^{2} - 2 x y^{2} + 3 x y + 2 x + 2 y^{3} + y^{2} - 2. Find fxy(−2,−2)f_{xy}(-2, -2).