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Question

Complete set of values of 'm' for which function f(x)=ecosx+2mcosx+1 is increasing x ϵ (0,π2) is

A
(ω,12)
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B
(12 ,)
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C
(,e2)
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D
[e2 ,)
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Solution

The correct option is C (,e2)
f(x)=ecosx(sinx)2msinx
=sinx(ecosx+2m)0

So ecosx+2m0 [x ϵ (0,π2)]
mecosx2
m<e2
(maximum value of ecosx2)

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