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Multivariable CalculusMediumPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Medium problem

Let f(x,y)=−2x3+2x2y+2x2+2xy2−3x−3y2+2y−1f(x, y) = - 2 x^{3} + 2 x^{2} y + 2 x^{2} + 2 x y^{2} - 3 x - 3 y^{2} + 2 y - 1. Find fx(−2,0)f_x(-2, 0).