Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let f(x) = xsin 
x, x > 0. Then for all natural numbers n, f ’ (x) vanishes at
A
a unique point in the interval, 
B
a unique point in the interval 
C
a unique point in the interval (n, n + 1)
D
two points in the interval (n, n + 1)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(B, C)
We have f ’ (x) = sin 
x + 
x cos 
x = 0
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