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Popular >

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

Solution

y = \frac{( ln ( x ) )}{( x ^{2} )}

Solution

Domain : x > 0

Range : f (x) \leq \frac{1}{2 e}

X Intercepts : (1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

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

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{1}{2 e}]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Maximum

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

Popular Examples

y=cot(x)+sin^2(x)

y = cot (x) + sin^{2} (x)

y = \frac{1}{2 \cdot x + 1}

f(x)=arctan(x^2+x-2)

f (x) = arctan (x^{2} + x - 2)

f(x)=3x^3+2x^2-19x+6

f (x) = 3 x^{3} + 2 x^{2} - 19 x + 6

f (x) = x^{2} - 3 x + 11

Frequently Asked Questions (FAQ)

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