en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme 2+x-x^2

Solution

extreme points

2 + x - x^{2}

Solution

Maximum (\frac{1}{2}, \frac{9}{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

2 + x - x^{2} : \frac{9}{4}

Maximum (\frac{1}{2}, \frac{9}{4})

Popular Examples

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

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

extreme f(x,y)=2x^3+2y^2-800x extreme points

f (x, y) = 2 x^{3} + 2 y^{2} - 800 x

extreme f(x)=3x^3-4x^2-6x+1 extreme points

f (x) = 3 x^{3} - 4 x^{2} - 6 x + 1

extreme f(x,y)=-6x^2-y^2+9x-5y+8 extreme points

f (x, y) = - 6 x^{2} - y^{2} + 9 x - 5 y + 8

extreme f(x)=x^2+(240)/x extreme points

f (x) = x^{2} + \frac{240}{x}

Frequently Asked Questions (FAQ)

What is the extreme 2+x-x^2 ?
The extreme 2+x-x^2 is Maximum(1/2 , 9/4)