Trigonometric Functions & Equations

Section: Mathematics

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Question : 19 of 30

Marks: +1, -0

Let f(x) = x‌sin‌πx, x>0. Then for all natural numbers n, f′(x) vanishes at

[JEE Adv 2013 P1]

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)

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