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Popular >

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

Solution

f (x) = x^{x}

Solution

Domain : x > 0

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

Intercepts : None

Asymptotes : None

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

+1

Solution steps

Domain of

x^{x} : x > 0

Range of

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

Axis interception points of

x^{x} :

None

Asymptotes of

x^{x} :

None

Extreme Points of

x^{x} :

Minimum

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

Popular Examples

limit as x approaches 0 of ((1-x)^n-1)/x

x \to 0 lim (\frac{( 1 - x ) ^{n} - 1}{x})

integral of (x-2)/(x-1)

\int \frac{x - 2}{x - 1} d x

integral of x^3e^{x/2}

\int x^{3} e^{\frac{x}{2}} d x

derivative of (3x^2+7^3)

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

limit as x approaches+2-of sqrt(x(x-1))

x \to + 2 - lim (x (x - 1))

Frequently Asked Questions (FAQ)

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