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-5)^2)

Solution

extreme points

\frac{x ^{2}}{( x - 5 ) ^{2}}

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = - \frac{10 x}{( x - 5 ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 5,

Decreasing

: 5 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{( x - 5 ) ^{2}} : 0

Minimum (0, 0)

Graph

Popular Examples

extreme f(x)=6x-12cos(x),-2<= x<= 0 extreme points

f (x) = 6 x - 12 cos (x), - 2 \leq x \leq 0

extreme f(x)=2x^3-33x^2+144x+3 extreme points

f (x) = 2 x^{3} - 33 x^{2} + 144 x + 3

extreme f(x,y)=x^3+y^2-4xy+17x-10y+2.021 extreme points

f (x, y) = x^{3} + y^{2} - 4 x y + 17 x - 10 y + 2.021

extreme f(x)=((2x^3+5x))/((x+7))extreme points

f (x) = \frac{( 2 x ^{3} + 5 x )}{( x + 7 )}

extreme f(x)=2x^3-15x^2+6 extreme points

f (x) = 2 x^{3} - 15 x^{2} + 6

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/((x-5)^2) ?
The extreme (x^2)/((x-5)^2) is Minimum(0,0)