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If f(x)=x/(1+x tan x): x in (0,pi/2), th...

If `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

maxima occurs at `x_(0)` where `x_(0) = cos x_(0)`

Text Solution

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The correct Answer is:
B, D
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