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Multivariable CalculusMediumPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Medium problem

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