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Popular Calculus >

f(x)=x^{ln(x)}

Solution

f (x) = x^{l n (x)}

Solution

Domain : x > 0

Range : f (x) \geq 1

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Minimum (1, 1)

+1

Interval Notation

Domain : (0, \infty)

Range : [1, \infty)

Solution steps

Domain of

x^{l n (x)} : x > 0

Range of

x^{l n (x)} : f (x) \geq 1

Axis interception points of

x^{l n (x)} :

None

Asymptotes of

x^{l n (x)} :

Vertical

: x = 0

Extreme Points of

x^{l n (x)} :

Minimum

(1, 1)

Graph

Popular Examples

integral of 12x^2-7x+5

\int 12 x^{2} - 7 x + 5 d x

integral of t/(t^4+81)

\int \frac{t}{t ^{4} + 81} d t

area 1/(xsqrt(x^2-1)),x= 2/(sqrt(2)),x=2

a re a \frac{1}{x x ^{2} - 1}, x = \frac{2}{2}, x = 2

derivative of (4x^2+2x-5(x^3+7x+4))

\frac{d}{d x} ((4 x^{2} + 2 x - 5) (x^{3} + 7 x + 4))

derivative of (4u^2)/((u^2+u)^3)

d er i v a t i v e \frac{4 u ^{2}}{( u ^{2} + u ) ^{3}}

Frequently Asked Questions (FAQ)

What is the f(x)=x^{ln(x)} ?
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