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Gammel putnam
Posted:
02/06-2017 12:32
by
Gustav
La $f(x)=ax^2+bx+c$ hvor $a,b,c\in\mathbb{R}$. Dersom $|f(x)|\leq 1$ for $|x|\leq 1$, vis at $|f'(x)|\leq 4$ for $|x|\leq 1$.