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If f (x) and g (x) are two functions wit...

If f (x) and g (x) are two functions with `g(x)=x-(1)/(x)` and `fog (x)=x^(3)-(1)/(x^(3))`, then `f'(x)=`

A

`x^2-3`

B

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

C

`1+ 1/(x^2)`

D

`3x^2 + 3/(x^4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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