What is the monotone 3-\sqrt[3]{x-2} ?

The monotone 3-\sqrt[3]{x-2} is Decreasing:-infinity <x<2,Decreasing:2<x<infinity

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monotone 3-\sqrt[3]{x-2}

monotone intervals

3 - 3 x - 2

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

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

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

x^{3} + x^{2} - 4 x - 4

x

y = 3 sin (π x - \frac{π}{3})

x^{6} (x - 1)^{5}

f (x) = - 2 x^{4} - 24 x^{3} - 10

What is the monotone 3-\sqrt[3]{x-2} ?
The monotone 3-\sqrt[3]{x-2} is Decreasing:-infinity <x<2,Decreasing:2<x<infinity