What is the extreme f(x)=9+54x-2x^3 ?

The extreme f(x)=9+54x-2x^3 is Minimum(-3,-99),Maximum(3,117)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=9+54x-2x^3

extreme

Minimum (- 3, - 99), Maximum (3, 117)

Solution steps

f^{'} (x) = - 6 x^{2} + 54

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = - 3

into

9 + 54 x - 2 x^{3} : - 99

Minimum (- 3, - 99)

Plug

x = 3

into

9 + 54 x - 2 x^{3} : 117

Maximum (3, 117)

Minimum (- 3, - 99), Maximum (3, 117)

What is the extreme f(x)=9+54x-2x^3 ?
The extreme f(x)=9+54x-2x^3 is Minimum(-3,-99),Maximum(3,117)