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^2-5x-4

Solution

extreme points

f (x) = 3 x^{2} - 5 x - 4

Solution

Minimum (\frac{5}{6}, - \frac{73}{12})

Solution steps

f^{'} (x) = 6 x - 5

Find intervals:

Decreasing

: - \infty < x < \frac{5}{6},

Increasing

: \frac{5}{6} < x < \infty

Plug

x = \frac{5}{6}

into

3 x^{2} - 5 x - 4 : - \frac{73}{12}

Minimum (\frac{5}{6}, - \frac{73}{12})

Graph

Popular Examples

extreme f(x)=sqrt(x+1)

extreme f(x)=xe^{-5x^2}

extreme f(x)=x^3-12x^2+1

extreme 1-x^{2/3}

extreme f(x,y)=x^2-0.5y^2+3x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2-5x-4 ?
The extreme f(x)=3x^2-5x-4 is Minimum(5/6 ,-73/12)