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If x=sin theta and y=cos^(3) then 2y(d^(...

If `x=sin theta` and `y=cos^(3)` then `2y(d^(2)y)/(dx^(2))+4((dy)/(dx))^(2)` is

A

`6 cos^(2)theta(7 sin^(2)theta-cos^(2)theta)`

B

`cos^(2) theta(13 sin^(2) theta-cos^(2) theta)`

C

`3 cos^(2) theta(cos^(2) theta-13 sin^(2) theta)`

D

`3 cos^(2) theta(17 sin^(2) theta+cos^(2) theta)`

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The correct Answer is:
A
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