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^2-2x-4

Solution

extreme points

f (x) = 6 x^{2} - 2 x - 4

Solution

Minimum (\frac{1}{6}, - \frac{25}{6})

Solution steps

f^{'} (x) = 12 x - 2

Find intervals:

Decreasing

: - \infty < x < \frac{1}{6},

Increasing

: \frac{1}{6} < x < \infty

Plug

x = \frac{1}{6}

into

6 x^{2} - 2 x - 4 : - \frac{25}{6}

Minimum (\frac{1}{6}, - \frac{25}{6})

Popular Examples

extreme f(x,y)=xy+9/x+3/y extreme points

f (x, y) = x y + \frac{9}{x} + \frac{3}{y}

extreme f(x)= 1/2 (e^x+e^{-x})extreme points

f (x) = \frac{1}{2} (e^{x} + e^{- x})

extreme f(x)=2x^2-4x^4 extreme points

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

extreme x^3+6x^2-63x+10 extreme points

x^{3} + 6 x^{2} - 63 x + 10

extreme f(x,y)=x^2+y^2+10x-10y+5 extreme points

f (x, y) = x^{2} + y^{2} + 10 x - 10 y + 5

Frequently Asked Questions (FAQ)

What is the extreme f(x)=6x^2-2x-4 ?
The extreme f(x)=6x^2-2x-4 is Minimum(1/6 ,-25/6)