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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

monotone intervals

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

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

Solution steps

f^{'} (x) = - 4 e^{- 2 x^{2}} x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

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

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