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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)))_(a+4000)=bdot` 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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  • A function y = f(x) satisfies the condition f(x+(1)/x) =x^(2)+1/(x^2)(x ne 0) then f(x) = ........

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    B
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    `x^(2) - 2, |x| in [2,oo)`

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