Functie compusa cu derivatele

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Marius Mainea
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Functie compusa cu derivatele

Post by Marius Mainea »

Aratati ca nu exista functii \( f:\mathbb{R}\rightarrow\mathbb{R} \) de doua ori derivabila cu proprietatea

\( \lim_{x\to-\infty}(f\circ f^{\prime}\circ f^{\prime\prime})(x)=-\infty \) si \( \lim_{x\to-\infty}(f^{\prime\prime}\circ f^{\prime}\circ f)(x)=+\infty \)

Marius Ghergu, ,,Gh. Titeica'' 2005
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