What is the extreme 2x^3-3x^2-36x ?

The extreme 2x^3-3x^2-36x is Maximum(-2,44),Minimum(3,-81)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme 2x^3-3x^2-36x

extreme points

2 x^{3} - 3 x^{2} - 36 x

Maximum (- 2, 44), Minimum (3, - 81)

Solution steps

f^{'} (x) = 6 x^{2} - 6 x - 36

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 2

into

2 x^{3} - 3 x^{2} - 36 x : 44

Maximum (- 2, 44)

Plug

x = 3

into

2 x^{3} - 3 x^{2} - 36 x : - 81

Minimum (3, - 81)

Maximum (- 2, 44), Minimum (3, - 81)

f (x, y) = - 2 x - 5 y

f (x) = 2 x^{4} - 4 x^{2}

f (x) = 10 x - x^{2}

f (x) = 5 x - x^{2}

f (x, y) = x y^{2} + 3 x^{3} y - x y

What is the extreme 2x^3-3x^2-36x ?
The extreme 2x^3-3x^2-36x is Maximum(-2,44),Minimum(3,-81)