Chapter 5.1, Problem 28E

To determine

(a)

To find:

The critical number for the function $f\left(x\right)={\left(x+1\right)}^{\frac{4}{5}}$.

To determine

(b)

To find:

The open intervals where the function $f\left(x\right)={\left(x+1\right)}^{\frac{4}{5}}$ is increasing.

To determine

(c)

To find:

The open intervals where the function $f\left(x\right)={\left(x+1\right)}^{\frac{4}{5}}$ is decreasing.