en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme (2x^2-5x+5)/(x-2)

Solution

extreme

Solution

Maximum (\frac{4 - 6}{2}, - \frac{4 3 - 3 2}{2}), Minimum (\frac{4 + 6}{2}, \frac{4 3 + 3 2}{2})

Solution steps

f^{'} (x) = \frac{2 x ^{2} - 8 x + 5}{( x - 2 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < \frac{4 - 6}{2},

Decreasing

: \frac{4 - 6}{2} < x < 2,

Decreasing

: 2 < x < \frac{4 + 6}{2},

Increasing

: \frac{4 + 6}{2} < x < \infty

Plug

x = \frac{4 - 6}{2}

into

\frac{2 x ^{2} - 5 x + 5}{x - 2} : - \frac{4 3 - 3 2}{2}

Maximum (\frac{4 - 6}{2}, - \frac{4 3 - 3 2}{2})

Plug

x = \frac{4 + 6}{2}

into

\frac{2 x ^{2} - 5 x + 5}{x - 2} : \frac{4 3 + 3 2}{2}

Minimum (\frac{4 + 6}{2}, \frac{4 3 + 3 2}{2})

Maximum (\frac{4 - 6}{2}, - \frac{4 3 - 3 2}{2}), Minimum (\frac{4 + 6}{2}, \frac{4 3 + 3 2}{2})

Graph

Popular Examples

extreme f(x)=2x^2-12x+20

extreme f(x)=4sin^2(x),0<= x<= pi

extreme f(x,y)=x^3+y^3-3x^2-9y^2-9x

extreme f(x,y)=4x^2+1/4 y^3-2xy

extreme f(x)=8x+7x^{-1}

Frequently Asked Questions (FAQ)

What is the extreme (2x^2-5x+5)/(x-2) ?
The extreme (2x^2-5x+5)/(x-2) is