critical-294x+2x^3+6xy^2-3y^3

解答

临界点

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

(\frac{21}{5}, \frac{28}{5}), (- \frac{21}{5}, - \frac{28}{5})

求解步骤

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

找到

\nabla f (x, y)

等于零或无定义的点

(\frac{21}{5}, \frac{28}{5}), (- \frac{21}{5}, - \frac{28}{5})

cr i t i c a l f (x, y) = \frac{1}{x} - \frac{64}{y} + x y

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

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

cr i t i c a l f (x, y) = x^{3} + y^{2} - 3 x^{2} + 10 y + 6

cr i t i c a l f (x) = 6 + 81 x - 3 x^{3}