The function f(x) = x + 1/x is decreasing in the interval – InterviewSolution

InterviewSolution

1.

The function f(x) = x + 1/x is decreasing in the interval

Answer»

f(x) is decreasing then f'(x) <0

So, f'(x) = 1 - 1/x² < 0

x² < 1

So, x belongs to (-1,0) union (0,1)

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