What is the extreme f(x)=x^3-9x^2+15x+5 ?

The extreme f(x)=x^3-9x^2+15x+5 is Maximum(1,12),Minimum(5,-20)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=x^3-9x^2+15x+5

extreme

Maximum (1, 12), Minimum (5, - 20)

Solution steps

f^{'} (x) = 3 x^{2} - 18 x + 15

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 1

into

x^{3} - 9 x^{2} + 15 x + 5 : 12

Maximum (1, 12)

Plug

x = 5

into

x^{3} - 9 x^{2} + 15 x + 5 : - 20

Minimum (5, - 20)

Maximum (1, 12), Minimum (5, - 20)

What is the extreme f(x)=x^3-9x^2+15x+5 ?
The extreme f(x)=x^3-9x^2+15x+5 is Maximum(1,12),Minimum(5,-20)