en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme 4x^5-5x^4

Solution

extreme points

4 x^{5} - 5 x^{4}

Solution

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 0

into

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

Maximum (0, 0)

Plug

x = 1

into

4 x^{5} - 5 x^{4} : - 1

Minimum (1, - 1)

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

Graph

Popular Examples

extreme f(x)=4x^2+8x+4y^2+4

extreme f(x)=2x+1

extreme f(x,y)=2x+3y+5

extreme f(x)=x^4+4x^3+5

extreme f(x,y)=5x+2y

Frequently Asked Questions (FAQ)

What is the extreme 4x^5-5x^4 ?
The extreme 4x^5-5x^4 is Maximum(0,0),Minimum(1,-1)