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Question

The real function f(x)=1xx2 is increasing in x over the interval

A
(,12)
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B
(,12]
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C
[12,)
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D
(12,)
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Solution

The correct option is A (,12)
Given the function f(x)=1xx2.
Now, f(x)=12x.
Now f(x) will be increasing if
f(x)0
or, 12x0
or, 1+2x0
or, x12.
So the given function will be decreasing if <x12.

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