Introductory calculus : understanding the derivative / / Tunc Geveci

• Autore: Geveci Tunc
• Pubblicazione: New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2015
• Descrizione fisica: 1 online resource (136 pages) : illustrations
• Disciplina: 515
• Soggetto topico: Calculus; Derivatives (Mathematics)
• Soggetto genere / forma: Libros electronicos.
• Note generali: Co-published with Cognella Academic Publishing.; Includes index.
• Nota di contenuto: 1. The foundation of the derivative -- The derivative of a function at a point -- The derivative as a function -- The Leibniz notation -- ; 2. Using the derivative for powers and linear combinations -- The derivatives of rational powers of x -- The derivatives of linear combinations -- Higher-order derivatives -- The proof of the power rule for arbitrary rational powers -- ; 3. Using the derivatives of sine and cosine -- The derivatives of sine and cosine at 0 -- The derivative functions corresponding to sine and cosine -- ; 4. Using the derivative in velocity and acceleration -- ; 5. Local linear approximations -- The differential -- The traditional notation for the differential -- The accuracy of local linear approximations -- ; 6. Understanding the product and quotient rules -- The quotient rule -- ; 7. Applying the chain rule -- A plausibility argument for the chain rule -- The chain rule in the Leibniz notation -- The chain rule for more than two functions -- The proof of the chain rule -- ; 8. The problems of related rates -- ; 9. The intermediate value theorem -- Newton's method -- ; 10. Using implicit differentiation -- ; Index.
• Titolo autorizzato: Introductory calculus
• ISBN: 1-60650-855-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910798022203321
• Lo trovi qui: Univ. Federico II