en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^5-5x

Solution

extreme points

x^{5} - 5 x

Solution

Maximum (- 1, 4), Minimum (1, - 4)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x^{5} - 5 x : 4

Maximum (- 1, 4)

Plug

x = 1

into

x^{5} - 5 x : - 4

Minimum (1, - 4)

Maximum (- 1, 4), Minimum (1, - 4)

Popular Examples

asymptotes of f(x)=(x^2-x)/(x^2-1)asymptotes

f (x) = \frac{x ^{2} - x}{x ^{2} - 1}

domain of sqrt(x^2+3x+6)domain

x^{2} + 3 x + 6

domain of x^2-10x+20 domain

x^{2} - 10 x + 20

inverse of (2x+1)/(x-3)inverse

\frac{2 x + 1}{x - 3}

domain of f(x)=(x-13)/(x^3+9x)domain

f (x) = \frac{x - 13}{x ^{3} + 9 x}

Frequently Asked Questions (FAQ)

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