en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=6x^2-6x+9

Solution

extreme points

f (x) = 6 x^{2} - 6 x + 9

Solution

Minimum (\frac{1}{2}, \frac{15}{2})

Solution steps

f^{'} (x) = 12 x - 6

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{2}

into

6 x^{2} - 6 x + 9 : \frac{15}{2}

Minimum (\frac{1}{2}, \frac{15}{2})

Popular Examples

extreme f(x)=2y^2+2xy+x^2-16x-20y extreme points

f (x) = 2 y^{2} + 2 x y + x^{2} - 16 x - 20 y

extreme-2/(4x+x^2-2)extreme points

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

extreme f(x)=4x^3+9x^2 extreme points

f (x) = 4 x^{3} + 9 x^{2}

extreme f(x,y)=x^2*y^2+x^2-x*y^2-5*x-7 extreme points

f (x, y) = x^{2} \cdot y^{2} + x^{2} - x \cdot y^{2} - 5 \cdot x - 7

extreme (3x)/(x-2)extreme points

\frac{3 x}{x - 2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=6x^2-6x+9 ?
The extreme f(x)=6x^2-6x+9 is Minimum(1/2 , 15/2)