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Popular >

f(x)=xln(x)

Solution

f (x) = x ln (x)

Solution

Domain : x > 0

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

X Intercepts : (1, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (0, \infty)

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

Solution steps

Domain of

x ln (x) : x > 0

Range of

x ln (x) : f (x) \geq - \frac{1}{e}

Axis interception points of

x ln (x) :

X Intercepts

: (1, 0)

Asymptotes of

x ln (x) :

None

Extreme Points of

x ln (x) :

Minimum

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

Popular Examples

domain of x/(4x-3)domain

\frac{x}{4 x - 3}

intercepts of f(x)=(x+5)^2 intercepts

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

inverse of f(x)=8x+4 inverse

f (x) = 8 x + 4

intercepts of (x^2+4x+8)/(4x)intercepts

\frac{x ^{2} + 4 x + 8}{4 x}

domain of f(x)=arctan(((x-1))/(x+1))domain

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

Frequently Asked Questions (FAQ)

What is the f(x)=xln(x) ?
The f(x)=xln(x) is