en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=(x^2)/2-(ln(x))/4

Solution

y = \frac{x ^{2}}{2} - \frac{ln ( x )}{4}

Solution

Domain : x > 0

Range : f (x) \geq \frac{1}{8} + \frac{ln ( 2 )}{4}

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Minimum (\frac{1}{2}, \frac{1}{8} + \frac{ln ( 2 )}{4})

+1

Solution steps

Domain of

\frac{x ^{2}}{2} - \frac{ln ( x )}{4} : x > 0

Range of

\frac{x ^{2}}{2} - \frac{ln ( x )}{4} : f (x) \geq \frac{1}{8} + \frac{ln ( 2 )}{4}

Axis interception points of

\frac{x ^{2}}{2} - \frac{ln ( x )}{4} :

None

Asymptotes of

\frac{x ^{2}}{2} - \frac{ln ( x )}{4} :

Vertical

: x = 0

Extreme Points of

\frac{x ^{2}}{2} - \frac{ln ( x )}{4} :

Minimum

(\frac{1}{2}, \frac{1}{8} + \frac{ln ( 2 )}{4})

Popular Examples

f(x)=((x-5)sqrt(x-1))/(2x^2-50)

f (x) = \frac{( x - 5 ) x - 1}{2 x ^{2} - 50}

f(x)=xsqrt(18-x)

f (x) = x 18 - x

f (x) = x^{2} + 5 x - 50

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

f(x)=-2x^2+8x+9

f (x) = - 2 x^{2} + 8 x + 9

Frequently Asked Questions (FAQ)

What is the y=(x^2)/2-(ln(x))/4 ?
The y=(x^2)/2-(ln(x))/4 is