extreme-x^2+5x-2

解答

极值点

- 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) = 6 x^{2} + 500 x + 8000

e x t re m e f (x, y) = x ln (y) + y e^{x} - x^{2}

e x t re m e f (x) = x y + \frac{1}{x} + \frac{1}{y}

e x t re m e f (x) = 4 - \frac{16}{3} x^{2}, 0 \leq x \leq \frac{1}{2}

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