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JEE Advanced 2013 Paper 1 Mathematics Q13
Mathematics
Problem
Let
f
(
x
)
=
x
sin
π
x
f(x)=x\sin\pi x
f
(
x
)
=
x
sin
π
x
,
x
>
0
x>0
x
>
0
. Then for all natural numbers
n
n
n
,
f
′
(
x
)
f'(x)
f
′
(
x
)
vanishes at
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