What is the extreme f(x)=x^5+5x^4 ?

The extreme f(x)=x^5+5x^4 is Maximum(-4,256),Minimum(0,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=x^5+5x^4

extreme

Maximum (- 4, 256), Minimum (0, 0)

Solution steps

f^{'} (x) = 5 x^{4} + 20 x^{3}

Find intervals:

Increasing

: - \infty < x < - 4,

Decreasing

: - 4 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 4

into

x^{5} + 5 x^{4} : 256

Maximum (- 4, 256)

Plug

x = 0

into

x^{5} + 5 x^{4} : 0

Minimum (0, 0)

Maximum (- 4, 256), Minimum (0, 0)

What is the extreme f(x)=x^5+5x^4 ?
The extreme f(x)=x^5+5x^4 is Maximum(-4,256),Minimum(0,0)