en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=3x^2-4x+5

Solution

extreme points

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

Solution

Minimum (\frac{2}{3}, \frac{11}{3})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < \frac{2}{3},

Increasing

: \frac{2}{3} < x < \infty

Plug

x = \frac{2}{3}

into

3 x^{2} - 4 x + 5 : \frac{11}{3}

Minimum (\frac{2}{3}, \frac{11}{3})

Popular Examples

extreme f(x)=2x-3x^{2/3},-1<= x<= 3 extreme points

f (x) = 2 x - 3 x^{\frac{2}{3}}, - 1 \leq x \leq 3

extreme x(1-x^2)^2 extreme points

x (1 - x^{2})^{2}

extreme f(x,y)=x^2+xy+y^2-10y+33 extreme points

f (x, y) = x^{2} + x y + y^{2} - 10 y + 33

extreme y=x^2+4x extreme points

y = x^{2} + 4 x

extreme f(x)=2x^4-27x^3+118x^2-142x-104 extreme points

f (x) = 2 x^{4} - 27 x^{3} + 118 x^{2} - 142 x - 104

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2-4x+5 ?
The extreme f(x)=3x^2-4x+5 is Minimum(2/3 , 11/3)