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

`(6x^2-2x+2)/(x^2+1)^2sin((2x-1)/(x^2+1))^2`

B

`(6x^2-2x+2)/(x^2+1)^2sin((2x-1)/(x^2+1))`

C

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

D

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

Verified by Experts

The correct Answer is:

D

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