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Popular Calculus >

f(x)=4x^5ln(x)

Solution

f (x) = 4 x^{5} ln (x)

Solution

Domain : x > 0

Range : f (x) \geq - \frac{4}{5 e}

X Intercepts : (1, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{1}{5 e}, - \frac{4}{5 e})

+1

Interval Notation

Domain : (0, \infty)

Range : [- \frac{4}{5 e}, \infty)

Solution steps

Domain of

4 x^{5} ln (x) : x > 0

Range of

4 x^{5} ln (x) : f (x) \geq - \frac{4}{5 e}

Axis interception points of

4 x^{5} ln (x) :

X Intercepts

: (1, 0)

Asymptotes of

4 x^{5} ln (x) :

None

Extreme Points of

4 x^{5} ln (x) :

Minimum

(\frac{1}{5 e}, - \frac{4}{5 e})

Graph

Popular Examples

maclaurin ln(1-x^2)

ma c l a u r in ln (1 - x^{2})

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

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

limit as x approaches infinity of ((e^{-xy-x+y}))/(x^2y^2+xy)

x \to \infty lim (\frac{( e ^{- x y - x + y} )}{x ^{2} y ^{2} + x y})

y^{''}-2y^'+8y=320t^2

y^{^{''}} - 2 y^{^{'}} + 8 y = 320 t^{2}

derivative of 1/(sqrt(3x))

d er i v a t i v e \frac{1}{3 x}

Frequently Asked Questions (FAQ)

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