Chapter 5.1, Problem 36E

To determine

(a)

To find:

The critical number for the given function $\text{y}=x^{\frac{1}{3}}+x^{\frac{4}{3}}$

To determine

(b)

To find:

The open intervals where the function $\text{y}=x^{\frac{1}{3}}+x^{\frac{4}{3}}$ is increasing.

To determine

(c)

To find:

The open intervals where the function $\text{y}=x^{\frac{1}{3}}+x^{\frac{4}{3}}$ is decreasing.