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)=3x^2-3x

Solution

extreme points

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

Solution

Minimum (\frac{1}{2}, - \frac{3}{4})

Solution steps

f^{'} (x) = 6 x - 3

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{2}

into

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

Minimum (\frac{1}{2}, - \frac{3}{4})

Graph

Popular Examples

asymptotes of f(x)=(4x^2-4)/(x+1)

extreme f(x)=6x^4-36x^2

parity f(x)=(x(cos(4x)-x^3))/(sin(2x)-3)

intercepts of y=5x-13

asymptotes of sqrt(1+x^2)

Frequently Asked Questions (FAQ)

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