What is the extreme 2x^3-12x^2+18x ?

The extreme 2x^3-12x^2+18x is Maximum(1,8),Minimum(3,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme 2x^3-12x^2+18x

extreme points

2 x^{3} - 12 x^{2} + 18 x

Maximum (1, 8), Minimum (3, 0)

Solution steps

f^{'} (x) = 6 x^{2} - 24 x + 18

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 1

into

2 x^{3} - 12 x^{2} + 18 x : 8

Maximum (1, 8)

Plug

x = 3

into

2 x^{3} - 12 x^{2} + 18 x : 0

Minimum (3, 0)

Maximum (1, 8), Minimum (3, 0)

f (x) = (- x^{x} (ln (x) + 1)^{2} - x^{x - 1})

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

f (x) = \frac{x}{ln ( 9 x )}

1 x^{3} - 4 x^{2} - 3 x + 30

f (x) = - 4 x^{3} - 6 x^{2} + 144 x - 11

What is the extreme 2x^3-12x^2+18x ?
The extreme 2x^3-12x^2+18x is Maximum(1,8),Minimum(3,0)