en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=xe^{-x^2}

Solution

y = x e^{- x^{2}}

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{2 e} \leq f (x) \leq \frac{1}{2 e}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{1}{2}, - \frac{1}{2 e}), Maximum (\frac{1}{2}, \frac{1}{2 e})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2 e}, \frac{1}{2 e}]

Solution steps

Domain of

x e^{- x^{2}} : - \infty < x < \infty

Range of

x e^{- x^{2}} : - \frac{1}{2 e} \leq f (x) \leq \frac{1}{2 e}

Axis interception points of

x e^{- x^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x e^{- x^{2}} :

Horizontal

: y = 0

Extreme Points of

x e^{- x^{2}} :

Minimum

(- \frac{1}{2}, - \frac{1}{2 e}),

Maximum

(\frac{1}{2}, \frac{1}{2 e})

Popular Examples

solvefor r,r=7cos(θ)solve for

r, r = 7 cos (θ)

f(x)=x^4-2x^2+5

f (x) = x^{4} - 2 x^{2} + 5

f (x) = 9 x^{6}

f(x)=(x+10)/(2x^2+38x+180)

f (x) = \frac{x + 10}{2 x ^{2} + 38 x + 180}

f (x) = x^{2} + 3 x - 28

Frequently Asked Questions (FAQ)

What is the y=xe^{-x^2} ?
The y=xe^{-x^2} is