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If f(x)=x+tanx and g(x) is inverse of f(...

If `f(x)=x+tanx` and `g(x)` is inverse of `f(x)` then `g^(')(x)` is equal to

A

`(1)/([g(x)-x]^(2))`

B

`(1)/(2-[g(x)-x]^(2))`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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