What is the extreme f(x)=-x^3+27x-58 ?

The extreme f(x)=-x^3+27x-58 is Minimum(-3,-112),Maximum(3,-4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=-x^3+27x-58

extreme

Minimum (- 3, - 112), Maximum (3, - 4)

Solution steps

f^{'} (x) = - 3 x^{2} + 27

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = - 3

into

- x^{3} + 27 x - 58 : - 112

Minimum (- 3, - 112)

Plug

x = 3

into

- x^{3} + 27 x - 58 : - 4

Maximum (3, - 4)

Minimum (- 3, - 112), Maximum (3, - 4)

What is the extreme f(x)=-x^3+27x-58 ?
The extreme f(x)=-x^3+27x-58 is Minimum(-3,-112),Maximum(3,-4)