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+4/(x^2)

Solution

extreme points

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

Solution

Minimum (2, 3)

Solution steps

f^{'} (x) = 1 - \frac{8}{x ^{3}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

x + \frac{4}{x ^{2}} : 3

Minimum (2, 3)

Graph

Popular Examples

extreme f(x)=(x-2)(x+1)(x+4)extreme points

f (x) = (x - 2) (x + 1) (x + 4)

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

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

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

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

extreme f(x)=14x^2-2x^3+4xy extreme points

f (x) = 14 x^{2} - 2 x^{3} + 4 x y

extreme f(x)=ln(x^2+7x+15)extreme points

f (x) = ln (x^{2} + 7 x + 15)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x+4/(x^2) ?
The extreme f(x)=x+4/(x^2) is Minimum(2,3)