en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme x^5-5x^4+8

Solution

extreme points

x^{5} - 5 x^{4} + 8

Solution

Maximum (0, 8), Minimum (4, - 248)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 0

into

x^{5} - 5 x^{4} + 8 : 8

Maximum (0, 8)

Plug

x = 4

into

x^{5} - 5 x^{4} + 8 : - 248

Minimum (4, - 248)

Maximum (0, 8), Minimum (4, - 248)

Graph

Popular Examples

extreme f(x,y)=2x^2+3y^2

extreme f(x,y)=-y^2+xy-x^3+y+3

extreme f(x)=x^3-6x^2+9x+6

extreme f(x,y)=x^3+y^2-3x-2y

extreme f(x)=2x^2(ln(x))

Frequently Asked Questions (FAQ)

What is the extreme x^5-5x^4+8 ?
The extreme x^5-5x^4+8 is Maximum(0,8),Minimum(4,-248)