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(x+3)

Solution

extreme points

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

Solution

Maximum (- 2, 4), Minimum (0, 0)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 2

into

x^{2} (x + 3) : 4

Maximum (- 2, 4)

Plug

x = 0

into

x^{2} (x + 3) : 0

Minimum (0, 0)

Maximum (- 2, 4), Minimum (0, 0)

Popular Examples

inverse of ln((s-2)/(s+2))inverse

ln (\frac{s - 2}{s + 2})

domain of f(x)=\sqrt[3]{t-3}domain

asymptotes of (x^2-2x-1)/(x+1)asymptotes

\frac{x ^{2} - 2 x - 1}{x + 1}

simplify (5.7)(-1)simplify

(5.7) (- 1)

shift cos(2t)shift

cos (2 t)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2(x+3) ?
The extreme f(x)=x^2(x+3) is Maximum(-2,4),Minimum(0,0)