What is the extreme f(x)=x^5-10x^4+2=x^4(x-10)+2 ?

The extreme f(x)=x^5-10x^4+2=x^4(x-10)+2 is Maximum(0,2),Minimum(8,-8190)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x^5-10x^4+2=x^4(x-10)+2

extreme points

f (x) = x^{5} - 10 x^{4} + 2 = x^{4} (x - 10) + 2

Maximum (0, 2), Minimum (8, - 8190)

Solution steps

f^{'} (x) = 5 x^{3} (x - 8)

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 8,

Increasing

: 8 < x < \infty

Plug

x = 0

into

x^{4} (x - 10) + 2 : 2

Maximum (0, 2)

Plug

x = 8

into

x^{4} (x - 10) + 2 : - 8190

Minimum (8, - 8190)

Maximum (0, 2), Minimum (8, - 8190)

f (x) = x^{9} - x^{7}

f (x, y) = x^{2} + 2 y^{2} - 4 x + 4 y + 6

f (x) = ln (4 x) - 8 x^{2}

3 x^{4} + 3 y^{4} - 2 x y

f (x) = 150 x + 18 x^{2} - 1.5 x^{3}

What is the extreme f(x)=x^5-10x^4+2=x^4(x-10)+2 ?
The extreme f(x)=x^5-10x^4+2=x^4(x-10)+2 is Maximum(0,2),Minimum(8,-8190)