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Question
Let f be a polynomial function such that

f (3x) = f ' (x) . f '' (x), for all x $ \in $ R. Then :
f (2) + f ' (2) = 28
f '' (2) $-$ f ' (2) = 0
f '' (2) $-$ f (2) = 4
f (2) $-$ f ' (2) + f '' (2) = 10

Solution

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