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-2)^{4/3}

Solution

extreme points

f (x) = (x - 2)^{\frac{4}{3}}

Solution

Minimum (2, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

(x - 2)^{\frac{4}{3}} : 0

Minimum (2, 0)

Popular Examples

extreme x-4sqrt(x)extreme points

x - 4 x

extreme (x^2-a^2)^2 extreme points

(x^{2} - a^{2})^{2}

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

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

extreme f(x)=e^x(x-3)extreme points

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

extreme f(x)=4x^3+12x^2-36x extreme points

f (x) = 4 x^{3} + 12 x^{2} - 36 x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-2)^{4/3} ?
The extreme f(x)=(x-2)^{4/3} is Minimum(2,0)