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

The extreme f(x)=-x^3+3x^2+24x+2 is Minimum(-2,-26),Maximum(4,82)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

extreme

Minimum (- 2, - 26), Maximum (4, 82)

Solution steps

f^{'} (x) = - 3 x^{2} + 6 x + 24

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = - 2

into

- x^{3} + 3 x^{2} + 24 x + 2 : - 26

Minimum (- 2, - 26)

Plug

x = 4

into

- x^{3} + 3 x^{2} + 24 x + 2 : 82

Maximum (4, 82)

Minimum (- 2, - 26), Maximum (4, 82)

What is the extreme f(x)=-x^3+3x^2+24x+2 ?
The extreme f(x)=-x^3+3x^2+24x+2 is Minimum(-2,-26),Maximum(4,82)