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

Solution

extreme points

x^{2} + x - 2

Solution

Minimum (- \frac{1}{2}, - \frac{9}{4})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = - \frac{1}{2}

into

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

Minimum (- \frac{1}{2}, - \frac{9}{4})

Popular Examples

extreme f(x)=xe^{-2x^2}extreme points

f (x) = x e^{- 2 x^{2}}

extreme f(x,y)= 1/x+xy+1/y extreme points

f (x, y) = \frac{1}{x} + x y + \frac{1}{y}

extreme f(x)=2x^3-6x^2-18x+1 extreme points

f (x) = 2 x^{3} - 6 x^{2} - 18 x + 1

extreme y=-4x^3+60x^2-252x+8 extreme points

y = - 4 x^{3} + 60 x^{2} - 252 x + 8

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

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

Frequently Asked Questions (FAQ)

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