What is the extreme f(x)=2x^3-9x^2-60x+8 ?

The extreme f(x)=2x^3-9x^2-60x+8 is Maximum(-2,76),Minimum(5,-267)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=2x^3-9x^2-60x+8

extreme

Maximum (- 2, 76), Minimum (5, - 267)

Solution steps

f^{'} (x) = 6 x^{2} - 18 x - 60

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 2

into

2 x^{3} - 9 x^{2} - 60 x + 8 : 76

Maximum (- 2, 76)

Plug

x = 5

into

2 x^{3} - 9 x^{2} - 60 x + 8 : - 267

Minimum (5, - 267)

Maximum (- 2, 76), Minimum (5, - 267)

What is the extreme f(x)=2x^3-9x^2-60x+8 ?
The extreme f(x)=2x^3-9x^2-60x+8 is Maximum(-2,76),Minimum(5,-267)