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Popular Calculus >

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

Solution

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

Solution

Domain : x > 0

Range : f (x) \geq - \frac{1}{4 e ^{3}}

X Intercepts : (e, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Minimum (e^{\frac{3}{2}}, - \frac{1}{4 e ^{3}})

+1

Interval Notation

Domain : (0, \infty)

Range : [- \frac{1}{4 e ^{3}}, \infty)

Solution steps

Domain of

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

Range of

\frac{1 - ln ( x )}{2 x ^{2}} : f (x) \geq - \frac{1}{4 e ^{3}}

Axis interception points of

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

X Intercepts

: (e, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(e^{\frac{3}{2}}, - \frac{1}{4 e ^{3}})

Graph

Popular Examples

(dy)/(dx)=|x-2|

\frac{d y}{d x} = ∣ x - 2 ∣

tangent of f(x)=(x^2-4)^2

t an g e n t f (x) = (x^{2} - 4)^{2}

inverse oflaplace 3/((s+1)^3)

in v erse l a pl a ce \frac{3}{( s + 1 ) ^{3}}

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

d er i v a t i v e f (x) = \frac{x}{1 + x}

f (x) = 4 x^{3}

Frequently Asked Questions (FAQ)

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