en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

f(x)=(4x)^{ln(4x)}

Solution

f (x) = (4 x)^{l n (4 x)}

Solution

Domain : x > 0

Range : f (x) \geq 1

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Minimum (\frac{1}{4}, 1)

+1

Interval Notation

Domain : (0, \infty)

Range : [1, \infty)

Solution steps

Domain of

(4 x)^{l n (4 x)} : x > 0

Range of

(4 x)^{l n (4 x)} : f (x) \geq 1

Axis interception points of

(4 x)^{l n (4 x)} :

None

Asymptotes of

(4 x)^{l n (4 x)} :

Vertical

: x = 0

Extreme Points of

(4 x)^{l n (4 x)} :

Minimum

(\frac{1}{4}, 1)

Graph

Popular Examples

limit as x approaches-1 of (\sqrt[3]{-1.1}+1)/(-1.1+1)

x \to - 1 lim (\frac{3 - 1.1 + 1}{- 1.1 + 1})

integral of ((ln(t))^2)/t

\int \frac{( ln ( t ) ) ^{2}}{t} d t

derivative of 6/((x+5^2)-3)

\frac{d}{d x} (\frac{6}{( x + 5 ) ^{2}} - 3)

(\partial)/(\partial x)(I(x,c,t)n(3x+3ct))

\frac{\partial}{\partial x} (I (x, c, t) n (3 x + 3 c t))

integral from 1 to 4 of e^{2x+1}

\int_{1}^{4} e^{2 x + 1} d x

Frequently Asked Questions (FAQ)

What is the f(x)=(4x)^{ln(4x)} ?
The f(x)=(4x)^{ln(4x)} is