MathCastle
Multivariable CalculusMediumPartial Derivatives & the Gradient

Partial Derivatives & the Gradient · Medium problem

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