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

If `y=f((2x-1)/(x^2+1))` and `f^(prime)(x)=sinx^2` , find `(dy)/(dx)` .

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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