en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme 9x^2-x^3-3

Solution

extreme points

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

Solution

Minimum (0, - 3), Maximum (6, 105)

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

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

Minimum (0, - 3)

Plug

x = 6

into

9 x^{2} - x^{3} - 3 : 105

Maximum (6, 105)

Minimum (0, - 3), Maximum (6, 105)

Popular Examples

inverse of f(x)=7x+1 inverse

f (x) = 7 x + 1

extreme f(x)=-3x^4+24x^3-30x^2 extreme points

f (x) = - 3 x^{4} + 24 x^{3} - 30 x^{2}

inverse of f(x)=3log_{2}(2x-8)inverse

f (x) = 3 lo g_{2} (2 x - 8)

periodicity of f(x)=-tan(1/4 x)periodicity

f (x) = - tan (\frac{1}{4} x)

domain of y=cos(3x)domain

y = cos (3 x)

Frequently Asked Questions (FAQ)

What is the extreme 9x^2-x^3-3 ?
The extreme 9x^2-x^3-3 is Minimum(0,-3),Maximum(6,105)