What is the monotone f(x)=-1/3 x^3 ?

The monotone f(x)=-1/3 x^3 is Decreasing:-infinity <x<0,Decreasing:0<x<infinity

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monotone f(x)=-1/3 x^3

monotone intervals

f (x) = - \frac{1}{3} x^{3}

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

Solution steps

f^{'} (x) = - x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

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

f (x) = \frac{5 x ^{2} + 5 x - 30}{4 x + 12}

(p, q), (0, 0)

y = x - 5 - 1

y = x + 4

x^{2} + 2 x - 5

What is the monotone f(x)=-1/3 x^3 ?
The monotone f(x)=-1/3 x^3 is Decreasing:-infinity <x<0,Decreasing:0<x<infinity