en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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 < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

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

Minimum (1, - 3)

Graph

Popular Examples

extreme e^{2x}+e^{-x}

extreme f(x)=2x^2+3xy+4y^2+7x+11y

extreme f(x)=x^3-3x^2-9x+8

extreme f(x)=25x^2e^{2x}-16

extreme f(x)=e^{-2x^2}

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)