critical f(x,y)=x^2y+2y^2-2xy+6

解答

临界点

f (x, y) = x^{2} y + 2 y^{2} - 2 x y + 6

(2, 0), (0, 0), (1, \frac{1}{4})

求解步骤

x^{2} y + 2 y^{2} - 2 x y + 6

找到

\nabla f (x, y)

等于零或无定义的点

(2, 0), (0, 0), (1, \frac{1}{4})

cr i t i c a l \frac{x ^{2} + x}{x ^{2} - 1}

cr i t i c a l f (x) = e^{x^{2} - 7 x - 1}

cr i t i c a l y = - x^{4} - x^{3} + x^{2} + 3 x + 2

cr i t i c a l f (x) = x^{3} - 5 x^{2} + 3 x + 10

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