en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

extreme points

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

Solution

Minimum (- \frac{3}{2}, - \frac{21}{4})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = - \frac{3}{2}

into

x^{2} + 3 x - 3 : - \frac{21}{4}

Minimum (- \frac{3}{2}, - \frac{21}{4})

Graph

Popular Examples

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

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

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

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

extreme f(x)=x^3-3x^2-1 extreme points

f (x) = x^{3} - 3 x^{2} - 1

extreme f(x)= 1/(x^2-x-6)extreme points

f (x) = \frac{1}{x ^{2} - x - 6}

extreme f(x)=x^3-3/2 x^2-36x-5 extreme points

f (x) = x^{3} - \frac{3}{2} x^{2} - 36 x - 5

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2+3x-3 ?
The extreme f(x)=x^2+3x-3 is Minimum(-3/2 ,-21/4)