What is the monotone (x^3)/3-x^2-15x ?

The monotone (x^3)/3-x^2-15x is Increasing:-infinity <x<-3,Decreasing:-3<x<5,Increasing:5<x<infinity

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monotone (x^3)/3-x^2-15x

monotone intervals

\frac{x ^{3}}{3} - x^{2} - 15 x

Increasing : - \infty < x < - 3, Decreasing : - 3 < x < 5, Increasing : 5 < x < \infty

Solution steps

f^{'} (x) = x^{2} - 2 x - 15

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 5,

Increasing

: 5 < x < \infty

Increasing : - \infty < x < - 3, Decreasing : - 3 < x < 5, Increasing : 5 < x < \infty

f (x) = ∣ 2 x + 1 ∣

\frac{x ^{2}}{x ^{2} - 16}

f (x) = 3 x - 12

\frac{x ^{2} + x + 6}{x ^{2} - 10 x + 24}

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

What is the monotone (x^3)/3-x^2-15x ?
The monotone (x^3)/3-x^2-15x is Increasing:-infinity <x<-3,Decreasing:-3<x<5,Increasing:5<x<infinity