What is the extreme f(x)=5x^4+20x^3 ?

The extreme f(x)=5x^4+20x^3 is Minimum(-3,-135),Saddle(0,0)

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+20x^3

extreme points

f (x) = 5 x^{4} + 20 x^{3}

Minimum (- 3, - 135), Saddle (0, 0)

Solution steps

f^{'} (x) = 20 x^{3} + 60 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 3

into

5 x^{4} + 20 x^{3} : - 135

Minimum (- 3, - 135)

Plug

x = 0

into

5 x^{4} + 20 x^{3} : 0

Saddle (0, 0)

Minimum (- 3, - 135), Saddle (0, 0)

f (x) = 2 x

f (x) = (x + 2)^{\frac{2}{3}} - 4

ln (\frac{x + 3}{2 - x})

f (x) = 1

What is the extreme f(x)=5x^4+20x^3 ?
The extreme f(x)=5x^4+20x^3 is Minimum(-3,-135),Saddle(0,0)