en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme (x^2)/(x^2+243)

Solution

extreme points

\frac{x ^{2}}{x ^{2} + 243}

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = \frac{486 x}{( x ^{2} + 243 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x ^{2} + 243} : 0

Minimum (0, 0)

Popular Examples

extreme f(x)=6sin^2(x)+6sin(x)extreme points

f (x) = 6 sin^{2} (x) + 6 sin (x)

extreme f(x)=3^2-6x-9=0 extreme points

f (x) = 3^{2} - 6 x - 9 = 0

extreme 36x^5+540x^4+2100x^3-30 extreme points

36 x^{5} + 540 x^{4} + 2100 x^{3} - 30

extreme (x+1)(x+2)(x+3)(x+4)extreme points

(x + 1) (x + 2) (x + 3) (x + 4)

extreme y=(1/(x^2-4x-5))extreme points

y = (\frac{1}{x ^{2} - 4 x - 5})

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/(x^2+243) ?
The extreme (x^2)/(x^2+243) is Minimum(0,0)