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Let in x denote the logarithm of x with ...

Let in x denote the logarithm of x with respect to the base e. Let `S sub R` be the set all points where the function In `(x^(2)-1)` is well- defined. Then the number of function `f: S to R` that are differentiable, satisfy
`f'(x)- " In" (x^(2)-1)` for all `x in S ` and f(2)=0, is

A

0

B

1

C

2

D

infinite

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