en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme f(x)=xe^{-7x}

Solution

extreme points

f (x) = x e^{- 7 x}

Solution

Maximum (\frac{1}{7}, \frac{1}{7 e})

Solution steps

f^{'} (x) = e^{- 7 x} (1 - 7 x)

Find intervals:

Increasing

: - \infty < x < \frac{1}{7},

Decreasing

: \frac{1}{7} < x < \infty

Plug

x = \frac{1}{7}

into

x e^{- 7 x} : \frac{1}{7 e}

Maximum (\frac{1}{7}, \frac{1}{7 e})

Graph

Popular Examples

extreme f(x)=x(x^2-4)

extreme 6sinh(3x)cosh(3x)

extreme f(x)=(-2(x^2-1))/(x^2-4)

extreme f(x,y)=(e^{2-xy})/(x+y^2)

extreme f(x)=(-7)/(x^2-9)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=xe^{-7x} ?
The extreme f(x)=xe^{-7x} is Maximum(1/7 , 1/(7e))