What is the extreme f(x)=6x^4+8x^3 ?

The extreme f(x)=6x^4+8x^3 is Minimum(-1,-2),Saddle(0,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=6x^4+8x^3

extreme points

f (x) = 6 x^{4} + 8 x^{3}

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

Solution steps

f^{'} (x) = 24 x^{3} + 24 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 1

into

6 x^{4} + 8 x^{3} : - 2

Minimum (- 1, - 2)

Plug

x = 0

into

6 x^{4} + 8 x^{3} : 0

Saddle (0, 0)

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

What is the extreme f(x)=6x^4+8x^3 ?
The extreme f(x)=6x^4+8x^3 is Minimum(-1,-2),Saddle(0,0)