# How do you sketch the graph #y=x+1/x# using the first and second derivatives?

##### 1 Answer

Nov 26, 2016

See explanation that includes graph that is a rectangular hyperbola. with asymptotes x = 0 and y = 1.

#### Explanation:

Interestingly, no higher derivative is 0 at

So, there are no maxima and minima for y. \

As

As

So, x =0 and y = 1 are the asymptotes.

graph{xy-x-1=0 [-10, 10, -5, 5]}