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Multivariable CalculusMediumPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Medium problem

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