What is the extreme f(x)=3x^3-36x-3 ?

The extreme f(x)=3x^3-36x-3 is Maximum(-2,45),Minimum(2,-51)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=3x^3-36x-3

extreme points

f (x) = 3 x^{3} - 36 x - 3

Maximum (- 2, 45), Minimum (2, - 51)

Solution steps

f^{'} (x) = 9 x^{2} - 36

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

3 x^{3} - 36 x - 3 : 45

Maximum (- 2, 45)

Plug

x = 2

into

3 x^{3} - 36 x - 3 : - 51

Minimum (2, - 51)

Maximum (- 2, 45), Minimum (2, - 51)

f (x) = lo g_{2} (7 x)

f (x) = 4 x^{2} - 16 x + 14

f (x) = \frac{x ^{3}}{x ^{2} - 4}

(0, 3), (- 3, \frac{1}{2})

f (x) = \frac{1}{7 x + 6}

What is the extreme f(x)=3x^3-36x-3 ?
The extreme f(x)=3x^3-36x-3 is Maximum(-2,45),Minimum(2,-51)