en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- \frac{1}{2}, 0), Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{e ^{2}}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- \frac{1}{2}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Popular Examples

integral of (8x+7)

\int (8 x + 7) d x

derivative of f(x)=sqrt((1-x)/(1+x))derivative of

f (x) = \frac{1 - x}{1 + x}

tangent of f(x)=sqrt(x^2+15),\at x=7 tangent of

f (x) = x^{2} + 15, at x = 7

(\partial)/(\partial x)(arctan(y/x))

\frac{\partial}{\partial x} (arctan (\frac{y}{x}))

derivative of 6/(5x+3)derivative of

\frac{6}{5 x + 3}

Frequently Asked Questions (FAQ)

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