What is the monotone f(x)=-x^4+12x^3 ?

The monotone f(x)=-x^4+12x^3 is Increasing:-infinity <x<0,Increasing:0<x<9,Decreasing:9<x<infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

monotone f(x)=-x^4+12x^3

monotone intervals

f (x) = - x^{4} + 12 x^{3}

Increasing : - \infty < x < 0, Increasing : 0 < x < 9, Decreasing : 9 < x < \infty

Solution steps

f^{'} (x) = - 4 x^{3} + 36 x^{2}

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 9,

Decreasing

: 9 < x < \infty

Increasing : - \infty < x < 0, Increasing : 0 < x < 9, Decreasing : 9 < x < \infty

x^{6} + 2 x^{3} - 8

\frac{x + 12}{x - 3}

\frac{x}{( x ^{2} - 1 ) ^{\frac{1}{3}}}

f (x) = \frac{x + 1}{( x + 4 ) ( x - 6 )}

f (x) = \frac{1}{2} cos (x)

What is the monotone f(x)=-x^4+12x^3 ?
The monotone f(x)=-x^4+12x^3 is Increasing:-infinity <x<0,Increasing:0<x<9,Decreasing:9<x<infinity