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^2+x-2

Solution

extreme points

f (x) = 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,y)=y^3+9y^2-8xy+5x^2-2 extreme points

f (x, y) = y^{3} + 9 y^{2} - 8 x y + 5 x^{2} - 2

extreme (e^{-x})/(x+1)extreme points

\frac{e ^{- x}}{x + 1}

extreme (sqrt(x))/(1+x)extreme points

\frac{x}{1 + x}

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

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

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

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

Frequently Asked Questions (FAQ)

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