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Popular >

f(x)=(ln(x)-1)/(ln^2(x))

Solution

f (x) = \frac{ln ( x ) - 1}{ln ^{2} ( x )}

Solution

Domain : 0 < x < 1 or x > 1

Range : f (x) < 0 or 0 < f (x) \leq \frac{1}{4}

X Intercepts : (e, 0)

Asymptotes : Vertical x = 1, Horizontal y = 0

Extreme Points : Maximum (e^{2}, \frac{1}{4})

+1

Interval Notation

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

Solution steps

Domain of

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

Range of

\frac{ln ( x ) - 1}{ln ^{2} ( x )} : f (x) < 0 or 0 < f (x) \leq \frac{1}{4}

Axis interception points of

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

X Intercepts

: (e, 0)

Asymptotes of

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

Vertical

: x = 1,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(e^{2}, \frac{1}{4})

Graph

Popular Examples

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f (x) = \frac{x ^{2} - 3 x}{x + 1}

y^{^{''}} - y^{^{'}} + y = 0

implicit (dy)/(dx),x^8-y=0 implicit derivative

\frac{d y}{d x}, x^{8} - y = 0

integral of xsin(4x)

\int x sin (4 x) d x

(\partial)/(\partial x)((y/x)*ln(x))

\frac{\partial}{\partial x} ((\frac{y}{x}) \cdot ln (x))

Frequently Asked Questions (FAQ)

What is the f(x)=(ln(x)-1)/(ln^2(x)) ?
The f(x)=(ln(x)-1)/(ln^2(x)) is