What is the monotone f(x)=x^{4/5} ?

The monotone f(x)=x^{4/5} is Decreasing:-infinity <x<0,Increasing:0<x<infinity

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monotone f(x)=x^{4/5}

monotone intervals

f (x) = x^{\frac{4}{5}}

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

Solution steps

f^{'} (x) = \frac{4}{5 x ^{\frac{1}{5}}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

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

f (x) = - x^{3} + 3 x^{2} - 3 x + 1

f (x) = - 4 x^{6} + 6 + x^{4}

f (x) = 3 x^{2} + 1

y = \frac{9 x}{x ^{2} + 4}

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

What is the monotone f(x)=x^{4/5} ?
The monotone f(x)=x^{4/5} is Decreasing:-infinity <x<0,Increasing:0<x<infinity