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Latest posts from topic “Studio di funzione usando segno derivata seconda” Latest posts from topic “Studio di funzione usando segno derivata seconda” on “ElectroYou”. 2023-01-05T09:44:05Z https://www.electroyou.it/forum/viewtopic.php?f=7&t=87801 Re: Studio di funzione usando segno derivata seconda https://www.electroyou.it/forum/viewtopic.php?f=7&t=87801#p935818 ragnol 2023-01-05T14:09:55Z 2023-01-05T14:09:55Z
Infatti mi ero perso in un bicchiere d'acqua, non avevo mica visto che era sparito X^3....

Pensassi 6 volte prima di scrivere...
Re: Studio di funzione usando segno derivata seconda https://www.electroyou.it/forum/viewtopic.php?f=7&t=87801#p935813 StrikeD 2023-01-05T13:56:09Z 2023-01-05T13:56:09Z
Mi permetto di rispondere io. Quell'1 in realtà sarebbe
\frac{1+x^{3}}{1+x^{3}}=1
Re: Studio di funzione usando segno derivata seconda https://www.electroyou.it/forum/viewtopic.php?f=7&t=87801#p935812 ragnol 2023-01-05T13:40:43Z 2023-01-05T13:40:43Z
[quote="PietroBaima"]

[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]



Scusa PietroBaima, magari mi sto perdendo in un bicchiere d'acqua, ma sei sicuro di poter portare quell'1 davanti alla frazione senza denominatore?
Re: Studio di funzione usando segno derivata seconda https://www.electroyou.it/forum/viewtopic.php?f=7&t=87801#p935806 PietroBaima 2023-01-05T11:55:09Z 2023-01-05T11:55:09Z
[unparseable or potentially dangerous latex formula]

invece di impazzire di calcoli...

[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]

definisco

[unparseable or potentially dangerous latex formula] e [unparseable or potentially dangerous latex formula]

per cui [unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]
Re: Studio di funzione usando segno derivata seconda https://www.electroyou.it/forum/viewtopic.php?f=7&t=87801#p935798 MarcoD 2023-01-05T11:19:41Z 2023-01-05T11:19:41Z
Forse serve cercare i max, min solo attorno a 1 (max) e a -2 (min)
Re: Studio di funzione usando segno derivata seconda https://www.electroyou.it/forum/viewtopic.php?f=7&t=87801#p935794 StrikeD 2023-01-05T10:03:18Z 2023-01-05T10:03:18Z
Sì ho notato solo dopo il tag "Tex". Comunque ho fatto lo screenshot dopo aver scritto la formula usando il sistema di formule di word. Provvedo a correggere

Non riesco più a modificare il post. La derivata seconda scritta in Latex è
[unparseable or potentially dangerous latex formula]
Re: Studio di funzione usando segno derivata seconda https://www.electroyou.it/forum/viewtopic.php?f=7&t=87801#p935793 boiler 2023-01-05T09:59:22Z 2023-01-05T09:59:22Z
Per favore usa LaTeX per scrivere le formule (come da regolamento del forum), non fare copia-e-incolla da Wolfram Alpha.

Qui c'è una piattaforma che ti aiuta: https://www.codecogs.com/eqnedit.php

Boiler
Studio di funzione usando segno derivata seconda https://www.electroyou.it/forum/viewtopic.php?f=7&t=87801#p935789 StrikeD 2023-01-05T09:44:05Z 2023-01-05T09:44:05Z
Buongiorno,
sto cercando di svolgere la seguente traccia:
Studiare la funzione
[unparseable or potentially dangerous latex formula]
Tracciandone il grafico approssimato
Nota: si può studiare anche senza conoscere il segno della derivata prima, ma usando quello della derivata seconda


Ho provveduto a calcolare la derivata prima ottenendo
[unparseable or potentially dangerous latex formula]

Come indicato nella traccia viene consigliato di usare il segno della derivata seconda per lo studio della funzione.
Calcolando la derivata seconda viene fuori questo:
derivata seconda.jpg

L'impressione è che anziché semplificare, la derivata seconda complichi le cose e non riesco quindi a procedere con lo studio della concavità e convessità della funzione.

Ho commesso qualche errore?
Se no, siccome devo svolgere altri esercizi simili, volevo chiedervi qual è la logica con cui procedere con lo studio di funzioni in situazioni come questa. C'è un modo per semplificare la derivata seconda e renderla utilizzabile?