What is the extreme f(x)=1920x-10x^3 ?

The extreme f(x)=1920x-10x^3 is Minimum(-8,-10240),Maximum(8,10240)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=1920x-10x^3

extreme points

f (x) = 1920 x - 10 x^{3}

Minimum (- 8, - 10240), Maximum (8, 10240)

Solution steps

f^{'} (x) = 1920 - 30 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 8,

Increasing

: - 8 < x < 8,

Decreasing

: 8 < x < \infty

Plug

x = - 8

into

1920 x - 10 x^{3} : - 10240

Minimum (- 8, - 10240)

Plug

x = 8

into

1920 x - 10 x^{3} : 10240

Maximum (8, 10240)

Minimum (- 8, - 10240), Maximum (8, 10240)

f (x) = 100 e^{- 0.062 \cdot x}

f (x) = 7 sin^{2} (x) - 14 cos (x)

f (x) = - 3 x^{2} - 30 x - 21

y = z - x

S (r, α) = r α

What is the extreme f(x)=1920x-10x^3 ?
The extreme f(x)=1920x-10x^3 is Minimum(-8,-10240),Maximum(8,10240)