# Will you integrate it 2015 times? - X

Calculus Level 3

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

If $$g(x)$$ is a non-constant function defined for all real values of $$x$$, then what is the minimum number of distinct solutions $$f(x) = g(x)$$ can possess?

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