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f: R rarr R is a function such that f(0)...

`f: R rarr R` is a function such that f(0)=1 and for all `x,y in R f(xy+1)=f(xy+1)=f(x)f(y)-f(y)-x+2` then `(df)/(dx)` at x=e is

A

0

B

`-1`

C

e

D

1

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The correct Answer is:
D
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