What is the extreme f(x)=5x^4-30x^2 ?

The extreme f(x)=5x^4-30x^2 is Minimum(-sqrt(3),-45),Maximum(0,0),Minimum(sqrt(3),-45)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=5x^4-30x^2

extreme points

f (x) = 5 x^{4} - 30 x^{2}

Minimum (- 3, - 45), Maximum (0, 0), Minimum (3, - 45)

Solution steps

f^{'} (x) = 20 x^{3} - 60 x

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

5 x^{4} - 30 x^{2} : - 45

Minimum (- 3, - 45)

Plug

x = 0

into

5 x^{4} - 30 x^{2} : 0

Maximum (0, 0)

Plug

x = 3

into

5 x^{4} - 30 x^{2} : - 45

Minimum (3, - 45)

Minimum (- 3, - 45), Maximum (0, 0), Minimum (3, - 45)

f (x) = x^{4} + 3 x^{3}

f (x) = ln (x - 6)

f (x) = \frac{( x - 4 ) ( x + 9 )}{x ^{2} - 1}

\frac{x + 1}{2 x - 1}

What is the extreme f(x)=5x^4-30x^2 ?
The extreme f(x)=5x^4-30x^2 is Minimum(-sqrt(3),-45),Maximum(0,0),Minimum(sqrt(3),-45)