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+1)

Solution

extreme points

\frac{x ^{2}}{x + 1}

Solution

Maximum (- 2, - 4), Minimum (0, 0)

Solution steps

f^{'} (x) = \frac{x ^{2} + 2 x}{( x + 1 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < - 1,

Decreasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 2

into

\frac{x ^{2}}{x + 1} : - 4

Maximum (- 2, - 4)

Plug

x = 0

into

\frac{x ^{2}}{x + 1} : 0

Minimum (0, 0)

Maximum (- 2, - 4), Minimum (0, 0)

Popular Examples

extreme (x^3-1)^{2/3}extreme points

(x^{3} - 1)^{\frac{2}{3}}

extreme f(x)=9y-18-5x extreme points

f (x) = 9 y - 18 - 5 x

extreme f(x)= x/(x^2-x+25)extreme points

f (x) = \frac{x}{x ^{2} - x + 25}

extreme f(x)=(y^2)/(y+x^2)extreme points

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

extreme f(x)=-3x^2+5xy-2y^2+x+y extreme points

f (x) = - 3 x^{2} + 5 x y - 2 y^{2} + x + y

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/(x+1) ?
The extreme (x^2)/(x+1) is Maximum(-2,-4),Minimum(0,0)