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If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx...

If `y=f((2x-1)/(x^(2)+1))` and `f^'(x)=sinx^(2)`, then `(dy)/(dx)` is equal to

A

`(2+2x^(2))/(x^(2)+1)sin(1/(x^(2)+1))`

B

`(2+2x)/(x^(2)+1)sin(1/(x^(2)+1))^(2)`

C

`(1/(x^(2)+1))^(2)sin((2+2x^(2))/(x^(2)+1))`

D

`(2+2x-2x^(2))/((x^(2)+1)^(2))sin((2x-1)/(x^(2)+1))^(2)`

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