What is the extreme f(x)=x^3-12x+10 ?

The extreme f(x)=x^3-12x+10 is Maximum(-2,26),Minimum(2,-6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=x^3-12x+10

extreme points

f (x) = x^{3} - 12 x + 10

Maximum (- 2, 26), Minimum (2, - 6)

Solution steps

f^{'} (x) = 3 x^{2} - 12

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x^{3} - 12 x + 10 : 26

Maximum (- 2, 26)

Plug

x = 2

into

x^{3} - 12 x + 10 : - 6

Minimum (2, - 6)

Maximum (- 2, 26), Minimum (2, - 6)

What is the extreme f(x)=x^3-12x+10 ?
The extreme f(x)=x^3-12x+10 is Maximum(-2,26),Minimum(2,-6)