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)/(x^2+27)

Solution

extreme points

f (x) = \frac{x ^{2}}{x ^{2} + 27}

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = \frac{54 x}{( x ^{2} + 27 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x ^{2} + 27} : 0

Minimum (0, 0)

Graph

Popular Examples

extreme f(x)=2x^2+4x+10 extreme points

f (x) = 2 x^{2} + 4 x + 10

extreme f(x)=1-x^3-3x-2x^2+3x^4 extreme points

f (x) = 1 - x^{3} - 3 x - 2 x^{2} + 3 x^{4}

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

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

extreme f(x)=4x^5-3x^3-3x+1 extreme points

f (x) = 4 x^{5} - 3 x^{3} - 3 x + 1

extreme f(x,y)=2xy-5x^2-2y^2+4x+4y-4 extreme points

f (x, y) = 2 x y - 5 x^{2} - 2 y^{2} + 4 x + 4 y - 4

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x^2)/(x^2+27) ?
The extreme f(x)=(x^2)/(x^2+27) is Minimum(0,0)