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Popular >

f(x)=(ln(x))/(x^9)

Solution

f (x) = \frac{ln ( x )}{x ^{9}}

Solution

Domain : x > 0

Range : f (x) \leq \frac{1}{9 e}

X Intercepts : (1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{1}{9 e}]

Solution steps

Domain of

\frac{ln ( x )}{x ^{9}} : x > 0

Range of

\frac{ln ( x )}{x ^{9}} : f (x) \leq \frac{1}{9 e}

Axis interception points of

\frac{ln ( x )}{x ^{9}} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{ln ( x )}{x ^{9}} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{ln ( x )}{x ^{9}} :

Maximum

Popular Examples

derivative of (6x^2+1/(x^2+8))

\frac{d}{d x} (\frac{6 x ^{2} + 1}{x ^{2} + 8})

derivative of y=cos((pix)^8)derivative of

y = cos ((π x)^{8})

integral from-1 to 2 of x^2(x^3+1)^2

\int_{- 1}^{2} x^{2} (x^{3} + 1)^{2} d x

(dy)/(dx)=100x(y+2)

\frac{d y}{d x} = 100 x (y + 2)

tangent of y=3e^xcos(x),(0,3)tangent of

y = 3 e^{x} cos (x), (0, 3)

Frequently Asked Questions (FAQ)

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