en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(sqrt(x))/(e^x)

Solution

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

Solution

Domain : x \geq 0

Range : 0 \leq f (x) \leq \frac{1}{2 e ^{\frac{1}{2}}}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (0, 0), Maximum (\frac{1}{2}, \frac{1}{2 e ^{\frac{1}{2}}})

+1

Interval Notation

Domain : [0, \infty)

Range : [0, \frac{1}{2 e ^{\frac{1}{2}}}]

Solution steps

Domain of

\frac{x}{e ^{x}} : x \geq 0

Range of

\frac{x}{e ^{x}} : 0 \leq f (x) \leq \frac{1}{2 e ^{\frac{1}{2}}}

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(0, 0),

Maximum

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

Popular Examples

tangent of y=8x-x^2(1.7)tangent of

y = 8 x - x^{2} (1.7)

integral from 0 to 2 of 2pix(4-x^2)

\int_{0}^{2} 2 π x (4 - x^{2}) d x

derivative of 1/2 (6t^2+t)^{-3}derivative of

\frac{1}{2} (6 t^{2} + t)^{- 3}

derivative of e^{3sin^2(2x})

\frac{d}{d x} (e^{3 s i n^{2} (2 x)})

(\partial)/(\partial x)(7e^xln(y))

\frac{\partial}{\partial x} (7 e^{x} ln (y))

Frequently Asked Questions (FAQ)

What is the f(x)=(sqrt(x))/(e^x) ?
The f(x)=(sqrt(x))/(e^x) is