# How do you find the intervals of increasing and decreasing using the first derivative given #y=2x+1/x#?

##### 1 Answer

May 27, 2017

#### Explanation:

The function can be written as

#y= 2x + x^-1#

Which differentiates to:

#y' = 2 - x^-2 = 2 - 1/x^2#

A function will change from increasing to decreasing and vice versa when the derivative equals

Now select a test point, let it be

Hopefully this helps!