What is the monotone 1-\sqrt[3]{x+2} ?

The monotone 1-\sqrt[3]{x+2} is Decreasing:-infinity <x<-2,Decreasing:-2<x<infinity

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monotone 1-\sqrt[3]{x+2}

monotone intervals

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

(3, - 5), (- 2, 8)

y = - \frac{7}{2} x - 2, (7, - 5)

x + 8

\frac{4}{5} (- 15.5)

\frac{6}{x - 5} + 1

What is the monotone 1-\sqrt[3]{x+2} ?
The monotone 1-\sqrt[3]{x+2} is Decreasing:-infinity <x<-2,Decreasing:-2<x<infinity