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Popular >

f(x)=(x^{1/2})/(ln(x))

Solution

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

Solution

Domain : 0 < x < 1 or x > 1

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

Intercepts : None

Asymptotes : Vertical x = 1

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

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

\frac{x ^{\frac{1}{2}}}{ln ( x )} : f (x) < 0 or f (x) \geq \frac{e}{2}

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 1

Extreme Points of

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

Minimum

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

Popular Examples

f (x) = 2 x + 223

f(x)=3x^3+2x^2+12x+16

f (x) = 3 x^{3} + 2 x^{2} + 12 x + 16

f(x)=((x+1))/((sqrt(x)))

f (x) = \frac{( x + 1 )}{( x )}

f(x)=12x^2+17x+8

f (x) = 12 x^{2} + 17 x + 8

f(x)=x^3+7x^2-17x+59

f (x) = x^{3} + 7 x^{2} - 17 x + 59

Frequently Asked Questions (FAQ)

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