$$f(x) =f'(x) f''(x)$$ Find the polynomial function $f:\Bbb R\to \Bbb R$, with $\deg(f) =n$. I have found that the degree is $3$ but just replacing gives me that $f(x) =\frac{x^3}{18}$
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1That is the correct answer. – Paul May 02 '20 at 11:02
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1Also: https://math.stackexchange.com/q/1452333/42969. – Martin R May 02 '20 at 11:05