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

Solution

extreme points

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

Solution

Minimum (0, 0), Maximum (6, 108)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 6,

Decreasing

: 6 < x < \infty

Plug

x = 0

into

- x^{3} + 9 x^{2} : 0

Minimum (0, 0)

Plug

x = 6

into

- x^{3} + 9 x^{2} : 108

Maximum (6, 108)

Minimum (0, 0), Maximum (6, 108)

Popular Examples

extreme f(x)=6x^3-9x^2-108x+9 extreme points

f (x) = 6 x^{3} - 9 x^{2} - 108 x + 9

extreme f(x)=xe^{6x}extreme points

f (x) = x e^{6 x}

extreme f(x,y)=e^{-x^2-y^2}(x^2+2y^2)extreme points

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

extreme f(x)=x^3-27x+58 extreme points

f (x) = x^{3} - 27 x + 58

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

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

Frequently Asked Questions (FAQ)

What is the extreme-x^3+9x^2 ?
The extreme-x^3+9x^2 is Minimum(0,0),Maximum(6,108)