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Popular Functions >

extreme 4x-ln(4x)

Solution

extreme points

4 x - ln (4 x)

Solution

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

Solution steps

f^{'} (x) = 4 - \frac{1}{x}

Find intervals:

Decreasing

: 0 < x < \frac{1}{4},

Increasing

: \frac{1}{4} < x < \infty

Plug

x = \frac{1}{4}

into

4 x - ln (4 x) : 1

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

Graph

Popular Examples

simplify (6.1)(7.7)

s im pl i f y (6.1) (7.7)

domain of f(x)=4(1/5)^x

d o main f (x) = 4 (\frac{1}{5})^{x}

domain of f(x)=xy-2y-3x=2

d o main f (x) = x y - 2 y - 3 x = 2

slope ofintercept-3x+2y=2

s l o p e in t erce pt - 3 x + 2 y = 2

slope ofintercept-2x+2y=-2

s l o p e in t erce pt - 2 x + 2 y = - 2

Frequently Asked Questions (FAQ)

What is the extreme 4x-ln(4x) ?
The extreme 4x-ln(4x) is Minimum(1/4 ,1)