What is the extreme f(x)=2x^3-24x-3 ?

The extreme f(x)=2x^3-24x-3 is Maximum(-2,29),Minimum(2,-35)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=2x^3-24x-3

extreme points

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

Maximum (- 2, 29), Minimum (2, - 35)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

2 x^{3} - 24 x - 3 : 29

Maximum (- 2, 29)

Plug

x = 2

into

2 x^{3} - 24 x - 3 : - 35

Minimum (2, - 35)

Maximum (- 2, 29), Minimum (2, - 35)

(x - 1) (x - 3)

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

y = x^{2} - 3 x - 10

e^{x} - e^{2 x}

\frac{1}{x ^{2} - 2 x - 8}

What is the extreme f(x)=2x^3-24x-3 ?
The extreme f(x)=2x^3-24x-3 is Maximum(-2,29),Minimum(2,-35)