What is the extreme f(x)=x^5-5x^3-20x-2 ?

The extreme f(x)=x^5-5x^3-20x-2 is Maximum(-2,46),Minimum(2,-50)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x^5-5x^3-20x-2

extreme points

f (x) = x^{5} - 5 x^{3} - 20 x - 2

Maximum (- 2, 46), Minimum (2, - 50)

Solution steps

f^{'} (x) = 5 x^{4} - 15 x^{2} - 20

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x^{5} - 5 x^{3} - 20 x - 2 : 46

Maximum (- 2, 46)

Plug

x = 2

into

x^{5} - 5 x^{3} - 20 x - 2 : - 50

Minimum (2, - 50)

Maximum (- 2, 46), Minimum (2, - 50)

f (x) = 3 x^{4} - 8 x^{3} + 6 x^{2}

f (x) = x^{3} - 6 x^{2} + 9 x - 8

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

f (x, y) = x y

f (x) = 6 x - x^{2}

What is the extreme f(x)=x^5-5x^3-20x-2 ?
The extreme f(x)=x^5-5x^3-20x-2 is Maximum(-2,46),Minimum(2,-50)