MonotonicityHard
Question
f(x) = x + 1/x, x ≠ 0 is monotonic increasing when-
Options
A.| x | < 1
B.| x | > 1
C.| x | < 2
D.| x | > 2
Solution
f(x) = x + 
f′(x) = 1 - 
> 0
> 0 
(x + 1) (x - 1) > 0 | x | > 1
f′(x) = 1 - > 0 > 0 (x + 1) (x - 1) > 0 | x | > 1
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