Gammel putnam
Lagt inn: 02/06-2017 12:32
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 $|x|\leq 1$.
Matteprat
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https://www.matematikk.net/matteprat/viewtopic.php?f=19&t=45579