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)=-x^2+3x

Solution

extreme points

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

Solution

Maximum (\frac{3}{2}, \frac{9}{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

- x^{2} + 3 x : \frac{9}{4}

Maximum (\frac{3}{2}, \frac{9}{4})

Graph

Popular Examples

domain of f(x)= x/(-8x+3)

inverse of h(x)=6x+1

extreme f(x)=(e^x)/(6+e^x)

inverse of f(x)=x^3+3

inverse of 2.1786x+25.2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2+3x ?
The extreme f(x)=-x^2+3x is Maximum(3/2 , 9/4)