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Statement I If differentiable functions ...

Statement I If differentiable functions `f(x)` satisies the relation `f(x)+f(x-2)=0,AAx"inR,` and if `((d)/(dx)f(x))_(x=a)=((d)/(dx)f(x))_(a+4000)=6` Statement II `f(x)` is a periodic functions with period 4.

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement I.

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

Text Solution

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The correct Answer is:
C
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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.

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Knowledge Check

  • I.F of differential equation (dy)/( dx) + 2y = e^(2x) is

    A
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    B
    `e^(2)`
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