# What are the local extrema, if any, of #f (x) =(lnx)^2/x#?

##### 1 Answer

#### Answer:

There is a local minimum of

#### Explanation:

For

Then find

# = (lnx(2-lnx))/x^2# .

Test the intervals

(For test numbers, I suggest

We find that

and that

Jan 6, 2016

There is a local minimum of

For

Then find

# = (lnx(2-lnx))/x^2# .

Test the intervals

(For test numbers, I suggest

We find that

and that