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Multivariable CalculusMediumPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Medium problem

Let f(x,y)=−x3+2x2y+x2−2xy2−2x−2y3−2y2−3f(x, y) = - x^{3} + 2 x^{2} y + x^{2} - 2 x y^{2} - 2 x - 2 y^{3} - 2 y^{2} - 3. Find fxy(−1,2)f_{xy}(-1, 2).