Will you integrate it 2015 times? - IX

Calculus Level 3

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

True or False

If \( f(x) \) is a non-decreasing function for all real values of \( x \), then \(g(x) \) is non-negative for all real values of \(x \).


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