What is the extreme f(x)=x^3-27x+50 ?

The extreme f(x)=x^3-27x+50 is Maximum(-3,104),Minimum(3,-4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=x^3-27x+50

extreme

Maximum (- 3, 104), Minimum (3, - 4)

Solution steps

f^{'} (x) = 3 x^{2} - 27

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x^{3} - 27 x + 50 : 104

Maximum (- 3, 104)

Plug

x = 3

into

x^{3} - 27 x + 50 : - 4

Minimum (3, - 4)

Maximum (- 3, 104), Minimum (3, - 4)

What is the extreme f(x)=x^3-27x+50 ?
The extreme f(x)=x^3-27x+50 is Maximum(-3,104),Minimum(3,-4)