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

If `y = e^("sin"^2 x + "sin"^4x + "sin"^6x +...+oo)`, then `(dy)/(dx) = `

A

`e^(tan2x)`

B

`e^(tan2x)sec^2x`

C

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

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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