Derivate Vol.1: Calcolo Differenziale
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In questo primo volume gli studenti vengono introdotti alle Derivate e guidati verso il calcolo, mostrando gradualmente tutte le tecniche e le regole che occorre conoscere. Gli argomenti di questa nuova edizione sono stati riscritti e arricchiti, ampliando anche gli Esercizi Svolti e Spiegati.
Dopo aver definito e mostrato graficamente sia il rapporto incrementale che la derivata, passiamo alla relazione che c'� tra continuit� e derivabilit�. Si passa poi alle derivate elementari, alle operazioni, alle derivate goniometriche, a quelle degli esponenziali e dei logaritmi. Si prosegue con la derivata delle funzioni composte e delle funzioni inverse, nonch� delle funzioni iperboliche. Abbiamo inoltre dedicato un piccolo capitolo sul calcolo delle derivate quando nella funzione sono presenti i moduli. Una volta imparate tutte queste tecniche, lo studente potr� esercitarsi con numerosi esercizi proposti di ricapitolazione, molti estrapolati da varie prove d'esame di Analisi Matematica Uno.
Proseguiamo la trattazione con le derivate di ordine superiore, con la ricerca delle rette tangenti, delle rette normali, col saper individuare le curve tangenti o ortogonali e saper calcolare l'angolo tra curve incidenti. Un capitolo dedicato mostra come la derivata pu� essere applicata nella Fisica, ad esempio nel moto rettilineo, nel moto in un piano, oppure con la corrente elettrica. Infine passiamo al concetto di differenziale, al relativo teorema e al suo significato geometrico. Questo primo volume � associato il secondo, in cui vengono trattati i punti di non derivabilit�, i Teoremi di Rolle, Lagrange, Cauchy, De l'Hopital, la ricerca dei massimi, minimi, flessi e i problemi di ottimizzazione.
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Rich Dad Poor Dad: What the Rich Teach Their Kids about Money That the Poor and Middle Class Do Not!
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