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Forum Studenti •Studio di funzione Log x / x
Pagina 1 di 1

Studio di funzione Log x / x

Inviato: venerdì 5 febbraio 2010, 13:27
da Onizuka
Salve a tutti,
Avrei una domanda da proporvi.
Lo studio della funzione log x /x.

Io ho fatto questo studio, e mi torna una funzione di questo tipo :


Per vedere se ho fatto giusta la funzione, ho provato a risolvere la funzione con un programma (Mathematica) e la funzione che mi da è questa, ora io nn considero la parte immaginaria, ma..

quindi risulta una parte negativa (?)...
qualcuno potrebbe illuminarmi???
Grazie mille

Inviato: venerdì 5 febbraio 2010, 13:43
da Federico B.
Non può esserci una parte negativa semplicemente perchè il logaritmo è definito per x>0.


Se posso darti un consiglio di studio eviterei di usare programmi che "plottano" funzioni.
Sono una scorciatoia al lavoro necessario per studiare una funzione e, anche se usati come conferma dello studio fatto, non sempre convergono o non sempre ti danno info corrette.

Prova a plottare x^13456 - (1,01)^x e , probabilmente, il programma non ti farà dedurre i comportamenti corretti della funzione.

Inviato: venerdì 5 febbraio 2010, 14:25
da Onizuka
okkey grazie mille per la risposta rapida!!! cercherò di seguire il tuo consiglio perchè mi sembra di capire che questi software fanno piu casino che altro...

Inviato: venerdì 5 febbraio 2010, 14:38
da m.moscadelli
lo studio che avevi fatto ha portato alla soluzione giusta (il primo grafico va bene) l'altro è "nulla di furbo" :lol: