en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

extreme points

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

Solution

Maximum (\frac{3}{2}, - \frac{3}{4})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{3}{2}

into

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

Maximum (\frac{3}{2}, - \frac{3}{4})

Popular Examples

extreme f(x)=x(23-41+2x)(41/2-x)extreme points

f (x) = x (23 - 41 + 2 x) (\frac{41}{2} - x)

extreme x^3-3x^2-9x+2 extreme points

x^{3} - 3 x^{2} - 9 x + 2

extreme x^3-3x^2-9x+4 extreme points

x^{3} - 3 x^{2} - 9 x + 4

extreme 0.001x^3+8x+16 extreme points

0.001 x^{3} + 8 x + 16

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

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

Frequently Asked Questions (FAQ)

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