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Q.

If y=exp⁡sin2⁡x+sin4⁡x+sin6⁡x+…. then dydx=

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a

etan2x

b

etan2xsec2x

c

2etan2xtanxsec2x

d

etan2xtanxsec2x

answer is C.

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Detailed Solution

y=esin2x1-sin2x=etan2x⇒dydx=etan2x⋅2tanxsec2x
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