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If cos(f(x)) = (1-x^(2))/(1+x^(2)) and t...

If `cos(f(x)) = (1-x^(2))/(1+x^(2))` and `tan (g(x)) = (3x - x^(3))/(1-3x^(2))`, then `(df)/(dg)` =

A

`(3)/(2)`

B

`(1+ x^(2)+2x^(3))/((1-3x^(2))^(2))`

C

`(2)/(3)`

D

`(x^(2)+x^(3))/((1+x^(2))(1-3x^(2)))`

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The correct Answer is:
C
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