What is the monotone f(x)=x^2e^{-x} ?

The monotone f(x)=x^2e^{-x} is Decreasing:-infinity <x<0,Increasing:0<x<2,Decreasing:2<x<infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

monotone f(x)=x^2e^{-x}

monotone intervals

f (x) = x^{2} e^{- x}

Decreasing : - \infty < x < 0, Increasing : 0 < x < 2, Decreasing : 2 < x < \infty

Solution steps

f^{'} (x) = e^{- x} x (2 - x)

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Decreasing : - \infty < x < 0, Increasing : 0 < x < 2, Decreasing : 2 < x < \infty

x - 4^{2} + 4

f (x) = x - 12

f (x) = \frac{1}{2} ln (2 x - 1)

(- 7, 8), (- 1, 1)

y = x^{2} - 4

What is the monotone f(x)=x^2e^{-x} ?
The monotone f(x)=x^2e^{-x} is Decreasing:-infinity <x<0,Increasing:0<x<2,Decreasing:2<x<infinity