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Popular >

f(x)=sqrt(x)ln(x)

Solution

f (x) = x ln (x)

Solution

Domain : x > 0

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

X Intercepts : (1, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (0, \infty)

Range : [- \frac{2}{e}, \infty)

Solution steps

Domain of

x ln (x) : x > 0

Range of

x ln (x) : f (x) \geq - \frac{2}{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 ^{2}}, - \frac{2}{e})

Popular Examples

derivative of xe^{2x^2-4x}

\frac{d}{d x} (x e^{2 x^{2} - 4 x})

tangent of y=x^3-2x+2,(4,58)tangent of

y = x^{3} - 2 x + 2, (4, 58)

derivative of-1/((1-x)^2)derivative of

- \frac{1}{( 1 - x ) ^{2}}

taylor 2/x ,1 taylor

\frac{2}{x}, 1

(dy)/(dx)=4x(x-1)

\frac{d y}{d x} = 4 x (x - 1)

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(x)ln(x) ?
The f(x)=sqrt(x)ln(x) is