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Let `f(x)gt0` for all x and `f'(x)` exists for all x. If f is the inverse function of h and `h'(x)=(1)/(1+logx)`. Then `f'(x)` will be

A

`1+log(f(x))`

B

`1+(f(x))`

C

`1-log(f(x))`

D

`log(f(x))`

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The correct Answer is:
A
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