en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme (x+1)^3(x-3)

Solution

extreme points

(x + 1)^{3} (x - 3)

Solution

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

Solution steps

f^{'} (x) = 4 (x + 1)^{2} (x - 2)

Find intervals:

Decreasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 1

into

(x + 1)^{3} (x - 3) : 0

Saddle (- 1, 0)

Plug

x = 2

into

(x + 1)^{3} (x - 3) : - 27

Minimum (2, - 27)

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

Popular Examples

extreme f(x)=2x^3+9x^2-60x+6,-5<= x<= 5 extreme points

f (x) = 2 x^{3} + 9 x^{2} - 60 x + 6, - 5 \leq x \leq 5

extreme f(x)=x^{1/7}extreme points

f (x) = x^{\frac{1}{7}}

extreme 3\sqrt[3]{2a}-6\sqrt[3]{2a}extreme points

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

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

extreme f(x)=x^4-108x extreme points

f (x) = x^{4} - 108 x

Frequently Asked Questions (FAQ)

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