What is the monotone f(x)=6(x-2)^{2/3} ?

The monotone f(x)=6(x-2)^{2/3} is Decreasing:-infinity <x<2,Increasing:2<x<infinity

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monotone f(x)=6(x-2)^{2/3}

monotone intervals

f (x) = 6 (x - 2)^{\frac{2}{3}}

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

Solution steps

f^{'} (x) = \frac{4}{( x - 2 ) ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

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

y = 34

f (x) = e^{2 x - 9}

\frac{e ^{x} - e ^{- x}}{8}

f (x) = - 4 x^{4} + 24 x^{2}

y - 4 = \frac{9}{7} (x - 4)

What is the monotone f(x)=6(x-2)^{2/3} ?
The monotone f(x)=6(x-2)^{2/3} is Decreasing:-infinity <x<2,Increasing:2<x<infinity