What is the extreme 19x^4-114x^2 ?

The extreme 19x^4-114x^2 is Minimum(-sqrt(3),-171),Maximum(0,0),Minimum(sqrt(3),-171)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme 19x^4-114x^2

extreme points

19 x^{4} - 114 x^{2}

Minimum (- 3, - 171), Maximum (0, 0), Minimum (3, - 171)

Solution steps

f^{'} (x) = 76 x^{3} - 228 x

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

19 x^{4} - 114 x^{2} : - 171

Minimum (- 3, - 171)

Plug

x = 0

into

19 x^{4} - 114 x^{2} : 0

Maximum (0, 0)

Plug

x = 3

into

19 x^{4} - 114 x^{2} : - 171

Minimum (3, - 171)

Minimum (- 3, - 171), Maximum (0, 0), Minimum (3, - 171)

What is the extreme 19x^4-114x^2 ?
The extreme 19x^4-114x^2 is Minimum(-sqrt(3),-171),Maximum(0,0),Minimum(sqrt(3),-171)