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Popular >

extreme xe^{(-x)}

Solution

extreme points

x e^{(- x)}

Solution

Maximum (1, \frac{1}{e})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

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

Maximum (1, \frac{1}{e})

Popular Examples

simplify 14600e^{-0.166(-2)}simplify

14600 e^{- 0.166 (- 2)}

simplify-(-23)*9.5*10^{-3}simplify

- (- 23) \cdot 9.5 \cdot 1 0^{- 3}

simplify Be^{-1/a e^{-at}}simplify

B e^{- \frac{1}{a} e^{- a t}}

simplify s(3s^3)simplify

s (3 s^{3})

simplify-2e^{-2}*(-e^t)simplify

- 2 e^{- 2} \cdot (- e^{t})

Frequently Asked Questions (FAQ)

What is the extreme xe^{(-x)} ?
The extreme xe^{(-x)} is Maximum(1, 1/e)