What is the extreme f(x)=4x-24sqrt(x-4) ?

The extreme f(x)=4x-24sqrt(x-4) is Minimum(4,16),Minimum(13,-20)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=4x-24sqrt(x-4)

extreme

Minimum (4, 16), Minimum (13, - 20)

Solution steps

f^{'} (x) = 4 - \frac{12}{x - 4}

Find intervals:

Increasing

: 4 \leq x < \frac{37}{9},

Decreasing

: \frac{37}{9} < x < \infty

Plug

x = 4

into

4 x - 24 x - 4 : 16

Minimum (4, 16)

Plug

x = 13

into

4 x - 24 x - 4 : - 20

Minimum (13, - 20)

Minimum (4, 16), Minimum (13, - 20)

What is the extreme f(x)=4x-24sqrt(x-4) ?
The extreme f(x)=4x-24sqrt(x-4) is Minimum(4,16),Minimum(13,-20)