What is the extreme f(x)=-x^3+3x^2+2880x-500 ?

The extreme f(x)=-x^3+3x^2+2880x-500 is Minimum(-30,-57200),Maximum(32,61964)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=-x^3+3x^2+2880x-500

extreme points

f (x) = - x^{3} + 3 x^{2} + 2880 x - 500

Minimum (- 30, - 57200), Maximum (32, 61964)

Solution steps

f^{'} (x) = - 3 x^{2} + 6 x + 2880

Find intervals:

Decreasing

: - \infty < x < - 30,

Increasing

: - 30 < x < 32,

Decreasing

: 32 < x < \infty

Plug

x = - 30

into

- x^{3} + 3 x^{2} + 2880 x - 500 : - 57200

Minimum (- 30, - 57200)

Plug

x = 32

into

- x^{3} + 3 x^{2} + 2880 x - 500 : 61964

Maximum (32, 61964)

Minimum (- 30, - 57200), Maximum (32, 61964)

x^{3} - 3 x^{2} - 9 x + 10

f (x) = x^{5} - \frac{5}{3} x^{3} + 2

f (x) = x - sin (- x)

y = x x - 6

f (x) = x + 3 - x

What is the extreme f(x)=-x^3+3x^2+2880x-500 ?
The extreme f(x)=-x^3+3x^2+2880x-500 is Minimum(-30,-57200),Maximum(32,61964)