en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(e^{x^2})/(x^3)

Solution

f (x) = \frac{e ^{x^{2}}}{x ^{3}}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - \frac{2 2 e ^{\frac{3}{2}}}{3 3} or f (x) \geq \frac{2 2 e ^{\frac{3}{2}}}{3 3}

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Maximum (- \frac{3}{2}, - \frac{2 2 e ^{\frac{3}{2}}}{3 3}), Minimum (\frac{3}{2}, \frac{2 2 e ^{\frac{3}{2}}}{3 3})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, - \frac{2 2 e ^{\frac{3}{2}}}{3 3}] \cup [\frac{2 2 e ^{\frac{3}{2}}}{3 3}, \infty)

Solution steps

Domain of

\frac{e ^{x^{2}}}{x ^{3}} : x < 0 or x > 0

Range of

\frac{e ^{x^{2}}}{x ^{3}} : f (x) \leq - \frac{2 2 e ^{\frac{3}{2}}}{3 3} or f (x) \geq \frac{2 2 e ^{\frac{3}{2}}}{3 3}

Axis interception points of

\frac{e ^{x^{2}}}{x ^{3}} :

None

Asymptotes of

\frac{e ^{x^{2}}}{x ^{3}} :

Vertical

: x = 0

Extreme Points of

\frac{e ^{x^{2}}}{x ^{3}} :

Maximum

(- \frac{3}{2}, - \frac{2 2 e ^{\frac{3}{2}}}{3 3}),

Minimum

(\frac{3}{2}, \frac{2 2 e ^{\frac{3}{2}}}{3 3})

Popular Examples

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

f(x)=(4x^3-3x^2+x+1)/(x^2)

f (x) = \frac{4 x ^{3} - 3 x ^{2} + x + 1}{x ^{2}}

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

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

y=2x^3-3x^2-12x+3

y = 2 x^{3} - 3 x^{2} - 12 x + 3

f (x) = (x - 3)^{2} - 7

Frequently Asked Questions (FAQ)

What is the f(x)=(e^{x^2})/(x^3) ?
The f(x)=(e^{x^2})/(x^3) is