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+(32)/(x^2)

Solution

extreme points

f (x) = x + \frac{32}{x ^{2}}

Solution

Minimum (4, 6)

Solution steps

f^{'} (x) = 1 - \frac{64}{x ^{3}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 4

into

x + \frac{32}{x ^{2}} : 6

Minimum (4, 6)

Popular Examples

extreme f(x,y)=5x^2+5y^2+20x-10y+40 extreme points

f (x, y) = 5 x^{2} + 5 y^{2} + 20 x - 10 y + 40

extreme y=2x+z extreme points

y = 2 x + z

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

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

extreme e^x(15-x^2)extreme points

e^{x} (15 - x^{2})

extreme f(x)=-2/5 x^5-5x^4-16x^3-5 extreme points

f (x) = - \frac{2}{5} x^{5} - 5 x^{4} - 16 x^{3} - 5

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x+(32)/(x^2) ?
The extreme f(x)=x+(32)/(x^2) is Minimum(4,6)