en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=2xe^x+x^2e^x

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 2 e^{- 2 + 2} - 22 e^{- 2 + 2}

X Intercepts : (0, 0), (- 2, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 2 - 2, 2 e^{- 2 - 2} + 22 e^{- 2 - 2}), Minimum (- 2 + 2, 2 e^{- 2 + 2} - 22 e^{- 2 + 2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [2 e^{- 2 + 2} - 22 e^{- 2 + 2}, \infty)

Solution steps

Domain of

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

Range of

2 x e^{x} + x^{2} e^{x} : f (x) \geq 2 e^{- 2 + 2} - 22 e^{- 2 + 2}

Axis interception points of

2 x e^{x} + x^{2} e^{x} :

X Intercepts

: (0, 0), (- 2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

2 x e^{x} + x^{2} e^{x} :

Horizontal

: y = 0

Extreme Points of

2 x e^{x} + x^{2} e^{x} :

Maximum

(- 2 - 2, 2 e^{- 2 - 2} + 22 e^{- 2 - 2}),

Minimum

(- 2 + 2, 2 e^{- 2 + 2} - 22 e^{- 2 + 2})

Popular Examples

f(x)=ln(sin(3x))

f (x) = ln (sin (3 x))

f(x)=sqrt(2x^2+4)

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

f(x)=sqrt(2x^2-1)

f (x) = 2 x^{2} - 1

f(x)=sin^6(x)+cos^6(x)+3sin^2(x)cos^2(x)

f (x) = sin^{6} (x) + cos^{6} (x) + 3 sin^{2} (x) cos^{2} (x)

f(x)=(x^2)/((x^2+1))

f (x) = \frac{x ^{2}}{( x ^{2} + 1 )}

Frequently Asked Questions (FAQ)

What is the f(x)=2xe^x+x^2e^x ?
The f(x)=2xe^x+x^2e^x is