# What are the critical points of # f(x) = x^(1/3)*(x+8)#?

##### 1 Answer

Apr 8, 2016

The critical numbers are

#### Explanation:

A critical number for

For

And differentiating, we get

# = (x-8)/(3x^(2/3)) +x^(1/3)#

# = (x-8)/(3x^(2/3)) +(3x)/(3x^(2/3))#

# = (4x+8)/(3x^(2/3)# .

So,

Both are in the domain of