If y=(\cos x)^{(\cos x)^{(\cos x)} \.\....^{\infty}} then \frac{d y}{d x} is equal to

Correct Answer is : −y2tanx1−yln(cosx)

-{y^{2} \tan x}/{1-y \ln (\cos x)}

{y^{2} \tan x}/{1+y \ln (\cos x)}

{y^{2} \tan x}/{1-y {In}(\sin x)}

{y^{2} \sin x}/{1+y \ln (\sin x)}

UPSC NDA Math Model Paper 3

Question : 23 of 120

Marks: +1, -0

If y=(cos‌x)(cos‌x)(cos‌x).....∞ then

is equal to

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