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Consider the function f(x)={{:(xsin(pi)/...

Consider the function `f(x)={{:(xsin(pi)/(x),"for"xgt0),(0,"for"x=0):}`
Then, the number of points in `(0,1)` where the derivative f'(x) vanishes is

A

0

B

1

C

2

D

infinite

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The correct Answer is:
D
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