What is the monotone f(x)=x^5-5x ?

The monotone f(x)=x^5-5x is Increasing:-infinity <x<-1,Decreasing:-1<x<1,Increasing:1<x<infinity

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monotone f(x)=x^5-5x

monotone intervals

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

Increasing : - \infty < x < - 1, Decreasing : - 1 < x < 1, Increasing : 1 < x < \infty

Solution steps

f^{'} (x) = 5 x^{4} - 5

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Increasing : - \infty < x < - 1, Decreasing : - 1 < x < 1, Increasing : 1 < x < \infty

3 x - 6 y = 6

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

f (x) = (x - 2)^{2}, x \geq 2

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

f (x) = - (\frac{1}{x - 9})

What is the monotone f(x)=x^5-5x ?
The monotone f(x)=x^5-5x is Increasing:-infinity <x<-1,Decreasing:-1<x<1,Increasing:1<x<infinity