extreme xe^{-5x}

解答

极值点

x e^{- 5 x}

极大值 (\frac{1}{5}, \frac{1}{5 e})

求解步骤

f^{'} (x) = e^{- 5 x} (1 - 5 x)

Find intervals:

递增

: - \infty < x < \frac{1}{5},

递减

: \frac{1}{5} < x < \infty

将

x = \frac{1}{5}

代入

x e^{- 5 x} : \frac{1}{5 e}

极大值 (\frac{1}{5}, \frac{1}{5 e})

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

e x t re m e f (x) = 4 x^{3} - 108 x^{2} + 729 x

e x t re m e f (x) = 4 x^{\frac{3}{4}} - x, 0 \leq x \leq 256

e x t re m e - x^{3} + 6 x^{2} + 15 x + 4

e x t re m e f (x) = x x + 8