en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x^{1/3}(x+4)

Solution

extreme points

f (x) = x^{\frac{1}{3}} (x + 4)

Solution

Minimum (- 1, - 3)

Solution steps

f^{'} (x) = \frac{4 ( x + 1 )}{3 x ^{\frac{2}{3}}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 1

into

x^{\frac{1}{3}} (x + 4) : - 3

Minimum (- 1, - 3)

Popular Examples

extreme f(x)=3x^4-4x^3-12x^2+2 extreme points

f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2} + 2

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

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

extreme f(x,y)=e^x-xe^y extreme points

f (x, y) = e^{x} - x e^{y}

extreme f(x,y)=x^3+y^3-12x-3y extreme points

f (x, y) = x^{3} + y^{3} - 12 x - 3 y

extreme x^2y+y^3-27y extreme points

x^{2} y + y^{3} - 27 y

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^{1/3}(x+4) ?
The extreme f(x)=x^{1/3}(x+4) is Minimum(-1,-3)