en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^3-3x-6

Solution

extreme points

x^{3} - 3 x - 6

Solution

Maximum (- 1, - 4), Minimum (1, - 8)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x^{3} - 3 x - 6 : - 4

Maximum (- 1, - 4)

Plug

x = 1

into

x^{3} - 3 x - 6 : - 8

Minimum (1, - 8)

Maximum (- 1, - 4), Minimum (1, - 8)

Popular Examples

extreme f(x,y)=3x^2+y^2-2xy+42-8y extreme points

f (x, y) = 3 x^{2} + y^{2} - 2 x y + 42 - 8 y

extreme y=-3cos(x),0<= x<= 2pi extreme points

y = - 3 cos (x), 0 \leq x \leq 2 π

extreme x^2-2xy+3y^2-20y extreme points

x^{2} - 2 x y + 3 y^{2} - 20 y

extreme x^3-3x-1 extreme points

x^{3} - 3 x - 1

extreme f(x,y)=2xy-3xy^2 extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme x^3-3x-6 ?
The extreme x^3-3x-6 is Maximum(-1,-4),Minimum(1,-8)