What is the extreme f(x)=6x^4-4x^6 ?

The extreme f(x)=6x^4-4x^6 is Maximum(-1,2),Minimum(0,0),Maximum(1,2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=6x^4-4x^6

extreme points

f (x) = 6 x^{4} - 4 x^{6}

Maximum (- 1, 2), Minimum (0, 0), Maximum (1, 2)

Solution steps

f^{'} (x) = 24 x^{3} - 24 x^{5}

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Increasing

: 0 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

6 x^{4} - 4 x^{6} : 2

Maximum (- 1, 2)

Plug

x = 0

into

6 x^{4} - 4 x^{6} : 0

Minimum (0, 0)

Plug

x = 1

into

6 x^{4} - 4 x^{6} : 2

Maximum (1, 2)

Maximum (- 1, 2), Minimum (0, 0), Maximum (1, 2)

What is the extreme f(x)=6x^4-4x^6 ?
The extreme f(x)=6x^4-4x^6 is Maximum(-1,2),Minimum(0,0),Maximum(1,2)