What is the extreme f(x)=x+sqrt(7-x) ?

The extreme f(x)=x+sqrt(7-x) is Maximum(27/4 , 29/4),Minimum(7,7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=x+sqrt(7-x)

extreme

Maximum (\frac{27}{4}, \frac{29}{4}), Minimum (7, 7)

Solution steps

f^{'} (x) = 1 - \frac{1}{2 7 - x}

Find intervals:

Increasing

: - \infty < x < \frac{27}{4},

Decreasing

: \frac{27}{4} < x < 7

Plug

x = \frac{27}{4}

into

x + 7 - x : \frac{29}{4}

Maximum (\frac{27}{4}, \frac{29}{4})

Plug

x = 7

into

x + 7 - x : 7

Minimum (7, 7)

Maximum (\frac{27}{4}, \frac{29}{4}), Minimum (7, 7)

What is the extreme f(x)=x+sqrt(7-x) ?
The extreme f(x)=x+sqrt(7-x) is Maximum(27/4 , 29/4),Minimum(7,7)