# Will you integrate it 2015 times? - V

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 $$\frac{f(x)}{g(x)}$$ is constant for all values of $$x$$, then $$f(x)$$ has to be of the form $$Ae^{Bx}$$ for some real numbers $$A, B$$.

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