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Question Number 30509 by abdo imad last updated on 22/Feb/18

f f u n c t i o n c o n t i n u e a t o a n d {l i m}_{x \to 0} \frac{f (2 x) - f (x)}{x} = l

p r o v e t h a t f i s d e r i v a b l e a t o a n d f^{^{'}} (0) = l .