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Popular >

f(x)=x^2*ln(x)

Solution

f (x) = x^{2} \cdot ln (x)

Solution

Domain : x > 0

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

X Intercepts : (1, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (0, \infty)

Range : [- \frac{1}{2 e}, \infty)

Solution steps

Domain of

x^{2} \cdot ln (x) : x > 0

Range of

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

Axis interception points of

x^{2} \cdot ln (x) :

X Intercepts

: (1, 0)

Asymptotes of

x^{2} \cdot ln (x) :

None

Extreme Points of

x^{2} \cdot ln (x) :

Minimum

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

Popular Examples

integral of xe^{-5x}

\int x e^{- 5 x} d x

integral of (tan(θ)+cot(θ))^2

\int (tan (θ) + cot (θ))^{2} d θ

integral of 6/(sqrt(x))+6sqrt(x)

\int \frac{6}{x} + 6 x d x

(-27sin(3x)-27xcos(3x))^'

(- 27 sin (3 x) - 27 x cos (3 x))^{^{'}}

tangent of f(x)=(2x)/(x^2+1),\at x=-1,-1 tangent of

f (x) = \frac{2 x}{x ^{2} + 1}, at x = - 1, - 1

Frequently Asked Questions (FAQ)

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