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Let f(x)=xsinpix ,x > 0. Then for all na...

Let `f(x)=xsinpix ,x > 0.` Then for all natural numbers `n ,f^(prime)(x)` vanishes at a unique point in the interval `(n , n+1/2)` a unique point in the interval `(n+1/2, n+1)` a unique point in the interval `(n , n+1)` two points in the interval `(n , n+1)`

A

a unique in the interval`(n,n+1/2)`

B

a unique point in the interval `(n+1/2, n+1)`

C

a unique point in the interval `(n,n+1)`

D

two points in the interval `(n,n+1)`

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The correct Answer is:
B, C
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