critical f(x,y)=x^2y^2-2/3 x^3-2/3 y^3

解答

临界点

f (x, y) = x^{2} y^{2} - \frac{2}{3} x^{3} - \frac{2}{3} y^{3}

(0, 0), (0, 0), (1, 1)

求解步骤

x^{2} y^{2} - \frac{2}{3} x^{3} - \frac{2}{3} y^{3}

找到

\nabla f (x, y)

等于零或无定义的点

(0, 0), (0, 0), (1, 1)

cr i t i c a l x^{2} + y^{2} + x^{2} y + 4

cr i t i c a l f (x, y) = 2 x^{2} - x y - 3 y^{2} - 3 x + 7 y

cr i t i c a l y = 3 x^{4} + 4 x^{3} + x

cr i t i c a l f (x, y) = x^{3} - 3 x y^{2} + 12 y^{2}

cr i t i c a l f (x) = x \cdot e^{x}