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Let f (x) (cos ^(2) x)/(1+ cos +cos ^(2)...

Let `f (x) (cos ^(2) x)/(1+ cos +cos ^(2)x )and g (x) lamda tan x+1(1-lamda) sin x-x, ` where `lamda in R and x in [0, pi//2].`
`g '(x)` equals

A

`((1-cos x ) (f (x)-lamda))/(cos x)`

B

`((1- cos x )(lamda-f (x)))/(cos x)`

C

`((1- cos x )(lamda -f (x)))/(f(x))`

D

`((1- cos x )(lamda -f (x)))/((f(x ))^(2))`

Text Solution

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The correct Answer is:
C
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