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, + ∞)