What is the f(x)=(2x)/(ln(x)) ?

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f(x)=(2x)/(ln(x))

f (x) = \frac{2 x}{ln ( x )}

Domain : 0 < x < 1 or x > 1

Range : f (x) < 0 or f (x) \geq 2 e

Intercepts : None

Asymptotes : Vertical x = 1

Extreme Points : Minimum (e, 2 e)

Interval Notation

Domain : (0, 1) \cup (1, \infty)

Range : (- \infty, 0) \cup [2 e, \infty)

Solution steps

Domain of

\frac{2 x}{ln ( x )} : 0 < x < 1 or x > 1

Range of

\frac{2 x}{ln ( x )} : f (x) < 0 or f (x) \geq 2 e

Axis interception points of

\frac{2 x}{ln ( x )} :

None

Asymptotes of

\frac{2 x}{ln ( x )} :

Vertical

: x = 1

Extreme Points of

\frac{2 x}{ln ( x )} :

Minimum

(e, 2 e)

x \to 0 lim ((cos (x))^{c s c (x)})

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

y = 2 x^{3} + 4 x^{2} - x + 2

\int 3 x^{- 1} d x

2 x y d x + (x^{2} - 1) d y = 0