en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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

Solution

extreme

Solution

Minimum (\frac{3}{2}, - \frac{1}{2})

Solution steps

f^{'} (x) = 4 x - 6

Find intervals:

Decreasing

: - \infty < x < \frac{3}{2},

Increasing

: \frac{3}{2} < x < \infty

Plug

x = \frac{3}{2}

into

2 x^{2} - 6 x + 4 : - \frac{1}{2}

Minimum (\frac{3}{2}, - \frac{1}{2})

Graph

Popular Examples

extreme f(x)=2x^3+3x^2,1<= x<= 2

extreme y=x^3-8x^2-12x+8

extreme f(x)=(x-2)e^x+2

extreme e^{7x}+e^{-x}

extreme f(x,y)=2+2x+4y-x^2-y^2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=2x^2-6x+4 ?
The extreme f(x)=2x^2-6x+4 is Minimum(3/2 ,-1/2)