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

JEE Advanced 2013 Mathematics question

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

Answer: (B),(C)

(cos πx = 0 gives , so it is not a root). On , : no root (A false). On

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Question ID VK-026176