Will you integrate it 2015 times? - XII

Calculus Level 3

A function \(f : \mathbb{R} \rightarrow \mathbb{R} \) is at least \(2015 \) times differentiable. \(f(x) \) is differentiated \( 2015 \) times to get \( g(x) = \dfrac{ d^{2015} }{dx^{2015} } \big[ f(x) \big]\).

If \( f(x) \) is a periodic function with a fundamental period \(p\), then what can be said about \(g(x) \)?
Choose the most appropriate option.


This problem is part of the set - Will you integrate it 2015 times? .
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