extreme f(x)=-x^2-5x-2

解答

极值点

f (x) = - x^{2} - 5 x - 2

极大值 (- \frac{5}{2}, \frac{17}{4})

求解步骤

f^{'} (x) = - 2 x - 5

Find intervals:

递增

: - \infty < x < - \frac{5}{2},

递减

: - \frac{5}{2} < x < \infty

将

x = - \frac{5}{2}

代入

- x^{2} - 5 x - 2 : \frac{17}{4}

极大值 (- \frac{5}{2}, \frac{17}{4})

e x t re m e f (x) = 3 x^{3} + 4 x^{2} + 3 x - 1

e x t re m e F (X, Y) = 1 - X^{2} + 2 Y^{2}

e x t re m e f (x) = 8 + 12 x^{2} - 8 x^{3}

e x t re m e f (x) = x^{3} - 15 x^{2} + 78 x + 5

e x t re m e x^{2} - 2 x y + 2 y^{2} - 2 x + 4 y - 1