en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x(e^x)

Solution

extreme points

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

Solution

Minimum (- 1, - \frac{1}{e})

Solution steps

f^{'} (x) = e^{x} + e^{x} x

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

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

Minimum (- 1, - \frac{1}{e})

Popular Examples

extreme f(x,y)=2x^2+2y^2-x^4-y^4+3 extreme points

f (x, y) = 2 x^{2} + 2 y^{2} - x^{4} - y^{4} + 3

extreme sin(2x)+cos(2x)extreme points

sin (2 x) + cos (2 x)

extreme f(x)= x/((x^2+4))extreme points

f (x) = \frac{x}{( x ^{2} + 4 )}

extreme f(x)=-0.5x^2 extreme points

f (x) = - 0.5 x^{2}

extreme f(x)=5xe^{-5x}extreme points

f (x) = 5 x e^{- 5 x}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x(e^x) ?
The extreme f(x)=x(e^x) is Minimum(-1,-1/e)