What is the extreme x^4-6x^2-8x-3 ?

The extreme x^4-6x^2-8x-3 is Saddle(-1,0),Minimum(2,-27)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^4-6x^2-8x-3

extreme points

x^{4} - 6 x^{2} - 8 x - 3

Saddle (- 1, 0), Minimum (2, - 27)

Solution steps

f^{'} (x) = 4 x^{3} - 12 x - 8

Find intervals:

Decreasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 1

into

x^{4} - 6 x^{2} - 8 x - 3 : 0

Saddle (- 1, 0)

Plug

x = 2

into

x^{4} - 6 x^{2} - 8 x - 3 : - 27

Minimum (2, - 27)

Saddle (- 1, 0), Minimum (2, - 27)

f (x) = \frac{1 + x}{6 - x}

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

f (x) = - x^{\frac{2}{3}} (x - 3)

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

\frac{x ^{2} - 7 x + 26}{x - 5}

What is the extreme x^4-6x^2-8x-3 ?
The extreme x^4-6x^2-8x-3 is Saddle(-1,0),Minimum(2,-27)