What is the monotone f(x)=-x^3+3x^2 ?

The monotone f(x)=-x^3+3x^2 is Decreasing:-infinity <x<0,Increasing:0<x<2,Decreasing:2<x<infinity

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monotone f(x)=-x^3+3x^2

monotone intervals

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

Decreasing : - \infty < x < 0, Increasing : 0 < x < 2, Decreasing : 2 < x < \infty

Solution steps

f^{'} (x) = - 3 x^{2} + 6 x

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Decreasing : - \infty < x < 0, Increasing : 0 < x < 2, Decreasing : 2 < x < \infty

What is the monotone f(x)=-x^3+3x^2 ?
The monotone f(x)=-x^3+3x^2 is Decreasing:-infinity <x<0,Increasing:0<x<2,Decreasing:2<x<infinity