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If x^(2) + y^(2) = t - (1)/(t) and x^(4)...

If `x^(2) + y^(2) = t - (1)/(t)` and `x^(4) + y^(4) = t^(2) + (1)/(t^(2))`, then `(dy)/(dx)` =

A

`(2)/(x^(3))`

B

`(2)/(x^(3)y)`

C

`(1)/(x^(3))`

D

`(1)/(x^(3)y)`

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The correct Answer is:
D
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