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Popular >

y=ln^2(x)-ln(ln(x))

Solution

y = ln^{2} (x) - ln (ln (x))

Solution

Domain : x > 1

Range : f (x) \geq \frac{1}{2} + \frac{1}{2} ln (2)

Intercepts : None

Asymptotes : Vertical x = 1

Extreme Points : Minimum (e^{\frac{1}{2}}, \frac{1}{2} + \frac{1}{2} ln (2))

+1

Interval Notation

Domain : (1, \infty)

Range : [\frac{1}{2} + \frac{1}{2} ln (2), \infty)

Solution steps

Domain of

ln^{2} (x) - ln (ln (x)) : x > 1

Range of

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

Axis interception points of

ln^{2} (x) - ln (ln (x)) :

None

Asymptotes of

ln^{2} (x) - ln (ln (x)) :

Vertical

: x = 1

Extreme Points of

ln^{2} (x) - ln (ln (x)) :

Minimum

(e^{\frac{1}{2}}, \frac{1}{2} + \frac{1}{2} ln (2))

Popular Examples

y = \frac{2 x}{x - 4}

f(x)=2x-4sin(x),0<= x<= 2pi

f (x) = 2 x - 4 sin (x), 0 \leq x \leq 2 π

f(x)=3x^2-17x-12

f (x) = 3 x^{2} - 17 x - 12

f(x)=(ln(x^2))/(sqrt(16-x^4))

f (x) = \frac{ln ( x ^{2} )}{16 - x ^{4}}

f(n)=2^{n+4}-2^{n+3}

f (n) = 2^{n + 4} - 2^{n + 3}

Frequently Asked Questions (FAQ)

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