What is the f(x)=(ln(8x))/(e^{5x)} ?

f(x)=(ln(8x))/(e^{5x)}

f (x) = \frac{ln ( 8 x )}{e ^{5 x}}

Domain : x > 0

Range : f (x) < 0

X Intercepts : (\frac{1}{8}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : None

Interval Notation

Domain : (0, \infty)

Range : (- \infty, 0)

Solution steps

Domain of

\frac{ln ( 8 x )}{e ^{5 x}} : x > 0

Range of

\frac{ln ( 8 x )}{e ^{5 x}} : f (x) < 0

Axis interception points of

\frac{ln ( 8 x )}{e ^{5 x}} :

X Intercepts

: (\frac{1}{8}, 0)

Asymptotes of

\frac{ln ( 8 x )}{e ^{5 x}} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{ln ( 8 x )}{e ^{5 x}} :

None

x \to \frac{π}{2} lim (cot (2 x))

\frac{d}{d x} (3 sec (x) - 6 cos (x))

a re a y = x^{- 3}, 3 \leq x \leq 5

x \to 0 lim ((1 - x)^{\frac{2}{x}})

(x^{2} + 2 y^{2}) d x - (x y) d y = 0