en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=xe^{-9x}

Solution

extreme points

f (x) = x e^{- 9 x}

Solution

Maximum (\frac{1}{9}, \frac{1}{9 e})

Solution steps

f^{'} (x) = e^{- 9 x} (1 - 9 x)

Find intervals:

Increasing

: - \infty < x < \frac{1}{9},

Decreasing

: \frac{1}{9} < x < \infty

Plug

x = \frac{1}{9}

into

x e^{- 9 x} : \frac{1}{9 e}

Maximum (\frac{1}{9}, \frac{1}{9 e})

Popular Examples

slope ofintercept 5x+2y=6 slope intercept

5 x + 2 y = 6

simplify (5.1)(9.4)simplify

(5.1) (9.4)

line (-5,-2),(5,3)line

(- 5, - 2), (5, 3)

parity ((x^2-3x-2))/(4x^4+5x-4)parity

\frac{( x ^{2} - 3 x - 2 )}{4 x ^{4} + 5 x - 4}

domain of f(x)=ln(13t)domain

f (x) = ln (13 t)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=xe^{-9x} ?
The extreme f(x)=xe^{-9x} is Maximum(1/9 , 1/(9e))