What is the monotone f(x)=(x-3)sqrt(x) ?

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

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monotone f(x)=(x-3)sqrt(x)

monotone intervals

f (x) = (x - 3) x

Decreasing : 0 < x < 1, Increasing : 1 < x < \infty

Solution steps

f^{'} (x) = \frac{3 ( x - 1 )}{2 x}

Find intervals:

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Decreasing : 0 < x < 1, Increasing : 1 < x < \infty

x^{2} + 1

- 3 + ln (x)

f (x) = 1 - e^{- 0.01 x}

cot (\frac{1}{8} x)

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