What is the extreme x^4-8x^2-10 ?

The extreme x^4-8x^2-10 is Minimum(-2,-26),Maximum(0,-10),Minimum(2,-26)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme x^4-8x^2-10

extreme

Minimum (- 2, - 26), Maximum (0, - 10), Minimum (2, - 26)

Solution steps

f^{'} (x) = 4 x^{3} - 16 x

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x^{4} - 8 x^{2} - 10 : - 26

Minimum (- 2, - 26)

Plug

x = 0

into

x^{4} - 8 x^{2} - 10 : - 10

Maximum (0, - 10)

Plug

x = 2

into

x^{4} - 8 x^{2} - 10 : - 26

Minimum (2, - 26)

Minimum (- 2, - 26), Maximum (0, - 10), Minimum (2, - 26)

What is the extreme x^4-8x^2-10 ?
The extreme x^4-8x^2-10 is Minimum(-2,-26),Maximum(0,-10),Minimum(2,-26)