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Statement 1: If differentiable function ...

Statement 1: If differentiable function `f(x)` satisfies the relation `f(x)+f(x-2)=0AAx in R ,` and if `(d/(dx)f(x))_(x=a)=b ,t h e n(d/(dx)f(x))_(x=a+4000)=b`. Statement 2: `f(x)` is a periodic function with period 4.

A

Both statement I and Statement II are correct and Statement II is the correct explanation of Statement I

B

Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I

C

Statement I is correct but Statement II is incorrect

D

Statement II is correct but Statement I is correct.

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