Find the derivative of the function, and point out the increasing and decreasing range of the function according to the positive and negative of the derivative f(x)= x + 1/x Is the title a little vague? I hope to give some advice and give some answers for my reference Thank you. You must get more points

Find the derivative of the function, and point out the increasing and decreasing range of the function according to the positive and negative of the derivative f(x)= x + 1/x Is the title a little vague? I hope to give some advice and give some answers for my reference Thank you. You must get more points

Derivation
f`(x)=1-1/x^2
F '(x) = 0, x = 1 or - 1
f`(x)>0 -1<x<1
F '(x) < 0, X > 1 or X < - 1
So when x ∈ (- 1,0) ∪ (0,1), the function decreases
Increasing function when x ∈ (- ∞, - 1) ∪ (1, + ∞)