What is the extreme f(x)=100x^{1/2}-10x ?

The extreme f(x)=100x^{1/2}-10x is Maximum(0,0),Maximum(25,250)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=100x^{1/2}-10x

extreme

Maximum (0, 0), Maximum (25, 250)

Solution steps

f^{'} (x) = \frac{50}{x ^{\frac{1}{2}}} - 10

Find intervals:

Decreasing

: 0 \leq x < \frac{1}{25},

Increasing

: \frac{1}{25} < x < \infty

Plug

x = 0

into

100 x^{\frac{1}{2}} - 10 x : 0

Maximum (0, 0)

Plug

x = 25

into

100 x^{\frac{1}{2}} - 10 x : 250

Maximum (25, 250)

Maximum (0, 0), Maximum (25, 250)

What is the extreme f(x)=100x^{1/2}-10x ?
The extreme f(x)=100x^{1/2}-10x is Maximum(0,0),Maximum(25,250)