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(x+1)

Solution

extreme points

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

Solution

Maximum (- \frac{1}{2}, \frac{1}{4})

Solution steps

f^{'} (x) = - 2 x - 1

Find intervals:

Increasing

: - \infty < x < - \frac{1}{2},

Decreasing

: - \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

- x (x + 1) : \frac{1}{4}

Maximum (- \frac{1}{2}, \frac{1}{4})

Popular Examples

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

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

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

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

extreme f(x)=x^3+5x^2-8x+1 extreme points

f (x) = x^{3} + 5 x^{2} - 8 x + 1

extreme f(x)=7x^{8/3}extreme points

f (x) = 7 x^{\frac{8}{3}}

extreme 6/x+3/y+14x+5y extreme points

\frac{6}{x} + \frac{3}{y} + 14 x + 5 y

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x(x+1) ?
The extreme f(x)=-x(x+1) is Maximum(-1/2 , 1/4)