en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme 6x^4+16x^3

Solution

extreme points

6 x^{4} + 16 x^{3}

Solution

Minimum (- 2, - 32), Saddle (0, 0)

Solution steps

f^{'} (x) = 24 x^{3} + 48 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 2

into

6 x^{4} + 16 x^{3} : - 32

Minimum (- 2, - 32)

Plug

x = 0

into

6 x^{4} + 16 x^{3} : 0

Saddle (0, 0)

Minimum (- 2, - 32), Saddle (0, 0)

Popular Examples

inverse of f(x)=x+8 inverse

f (x) = x + 8

extreme f(x)=2x^2+(864)/x+5 extreme points

f (x) = 2 x^{2} + \frac{864}{x} + 5

range of f(x)=\sqrt[3]{x}+1 range

inverse of f(x)=6x+2 inverse

f (x) = 6 x + 2

asymptotes of (x-7)/(x^2-12x+35)asymptotes

\frac{x - 7}{x ^{2} - 12 x + 35}

Frequently Asked Questions (FAQ)

What is the extreme 6x^4+16x^3 ?
The extreme 6x^4+16x^3 is Minimum(-2,-32),Saddle(0,0)