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Multivariable CalculusMediumPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Medium problem

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