What is the monotone f(x)=x-4/(x^2) ?

The monotone f(x)=x-4/(x^2) is Increasing:-infinity <x<-2,Decreasing:-2<x<0,Increasing:0<x<infinity

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monotone f(x)=x-4/(x^2)

monotone intervals

f (x) = x - \frac{4}{x ^{2}}

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

Solution steps

f^{'} (x) = 1 + \frac{8}{x ^{3}}

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

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

4 x + 3 y = - 2

f (x) = ∣ x ∣ - 2

f (x) = x^{5} - x^{3}

f (x) = 3 x + 2

(5, 3), (1, - 5)

What is the monotone f(x)=x-4/(x^2) ?
The monotone f(x)=x-4/(x^2) is Increasing:-infinity <x<-2,Decreasing:-2<x<0,Increasing:0<x<infinity