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

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