# How do you find the maximum, minimum and inflection points and concavity for the function #f(x) = x^2 + 1/x^2#?

##### 1 Answer

Jan 12, 2017

Minimum : 2. No maximum. No POI ( point of inflexion ).

Convex towards origin.

#### Explanation:

The minimum f is

On the left (

f' is increasing, from

in respect of each branch of the graph, in

So, f is minimum 2 at

graph{(y-2)(y-x^2-1/x^2)=0 [-20, 20, -10, 10]}