critical y^3+3x^2y-6x^2-6y^2+2

解答

临界点

y^{3} + 3 x^{2} y - 6 x^{2} - 6 y^{2} + 2

(4, 0), (0, 0), (2, 2), (2, - 2)

求解步骤

y^{3} + 3 x^{2} y - 6 x^{2} - 6 y^{2} + 2

找到

\nabla f (y, x)

等于零或无定义的点

(4, 0), (0, 0), (2, 2), (2, - 2)

cr i t i c a l f (x) = \frac{- 2 ( x + 1 )}{( x - 2 ) ^{4}}

cr i t i c a l f (x) = 5 - 2 x^{2} + 3 x^{3} - x^{4}

cr i t i c a l f (x) = x^{2} - 8 ln (7 x)

cr i t i c a l f (x, y) = x^{2} - 2 x + y^{2} + 2 y + 1

cr i t i c a l f (x) = (\frac{x ^{4}}{4} - x^{3} - 2 x^{2} + 3)