# How do you find the exact relative maximum and minimum of the function of #f(x) = 4x+6x^-1#?

##### 1 Answer

Find the critical numbers. Test the critical numbers. Evaluate

#### Explanation:

This is a good example to use the second derivative test for.

So

And

We can save ourseles some work evaluating the function by noting that the function is odd. So

# = 2sqrt2sqrt3+2sqrt3sqrt2#

# = 4sqrt6# .

and a relative minimum of