What is the extreme f(x)=4x^3-48x-1 ?

The extreme f(x)=4x^3-48x-1 is Maximum(-2,63),Minimum(2,-65)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=4x^3-48x-1

extreme

Maximum (- 2, 63), Minimum (2, - 65)

Solution steps

f^{'} (x) = 12 x^{2} - 48

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

4 x^{3} - 48 x - 1 : 63

Maximum (- 2, 63)

Plug

x = 2

into

4 x^{3} - 48 x - 1 : - 65

Minimum (2, - 65)

Maximum (- 2, 63), Minimum (2, - 65)

What is the extreme f(x)=4x^3-48x-1 ?
The extreme f(x)=4x^3-48x-1 is Maximum(-2,63),Minimum(2,-65)