# What are the critical points of #f(x) = 6x^(2/3) + x^(5/3)#?

##### 1 Answer

Oct 27, 2015

Thee critical numbers for

#### Explanation:

For

# = 1/3 x^(-1/3) (12+5x)#

# = (12+5x)/(3x^(1/3))# .

Both of these numbers are in

**Alternative Method**

Many students find it more clear to do the algebra differently.

# = 12/(3root3x)+(5root3x^2)/3#

# = 12/(3root3x)+(5root3x^2)/3 * root3x/root3x# .

# = 12/(3root3x)+(5x)/(3root3x)#

# = (12+5x)/(3root3x)#

Now find