en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^3-9x^2+24x

Solution

extreme points

x^{3} - 9 x^{2} + 24 x

Solution

Maximum (2, 20), Minimum (4, 16)

Solution steps

f^{'} (x) = 3 x^{2} - 18 x + 24

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 2

into

x^{3} - 9 x^{2} + 24 x : 20

Maximum (2, 20)

Plug

x = 4

into

x^{3} - 9 x^{2} + 24 x : 16

Minimum (4, 16)

Maximum (2, 20), Minimum (4, 16)

Graph

Popular Examples

extreme f(x,y)=2x^2-4x+y^2-4y+6 extreme points

f (x, y) = 2 x^{2} - 4 x + y^{2} - 4 y + 6

extreme p(x)=2x^3-11x^2+ax-40 extreme points

p (x) = 2 x^{3} - 11 x^{2} + a x - 40

extreme (x^4-98x^2)/8 extreme points

\frac{x ^{4} - 98 x ^{2}}{8}

extreme 2xe^{3x}extreme points

2 x e^{3 x}

extreme f(x,y)=1+x^2+xy+y^2 extreme points

f (x, y) = 1 + x^{2} + x y + y^{2}

Frequently Asked Questions (FAQ)

What is the extreme x^3-9x^2+24x ?
The extreme x^3-9x^2+24x is Maximum(2,20),Minimum(4,16)