if y=e^(sin^2x+sin^4x+sin^6x+..............

if `y=e^(sin^2x+sin^4x+sin^6x+............oo)` then find `(dy)/(dx)`

A

`e^(tan_2x)`

B

`e^(tan_2x)sec^2x`

C

`2e^(tan^(2)x)tanxsec^2x`

D

`2e^(tan^(2)x)sec^2x`

Verified by Experts

The correct Answer is:

C

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