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]}