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f(x) = (x)/(1 + x tan x), x in (0, (pi)/...

`f(x) = (x)/(1 + x tan x), x in (0, (pi)/(2))` then a)f(x) has exactly one point of minima b)f(x) has exactly one point of maxima c)f(x) is increasing in `(0, (pi)/(2))`. d)f(x) is decreasing in `(0, (pi)/(2))`.

A

f(x) has exactly one point of minima

B

f(x) has exactly one point of maxima

C

f(x) is increasing in `(0, (pi)/(2))`.

D

f(x) is decreasing in `(0, (pi)/(2))`.

Text Solution

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The correct Answer is:
B
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