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[null,"1.","Record Nr.",null,"UNINA9910807735303321"]
[null,null,"Autore",null,"Geveci Tunc"]
[null,null,"Titolo",null,"Introductory calculus : understanding the derivative / / Tunc Geveci"]
[null,null,"Pubbl/distr/stampa",null,"New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2015"]
[null,null,"ISBN",null,"1-60650-855-5"]
[null,null,"Descrizione fisica",null,"1 online resource (136 pages) : illustrations"]
[null,null,"Disciplina",null,"515"]
[null,null,"Soggetti",null,"Calculus"]
[{"$nulls":4},"Derivatives (Mathematics)"]
[{"$nulls":4},"Libros electronicos."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Co-published with Cognella Academic Publishing."]
[{"$nulls":4},"Includes index."]
[null,null,"Nota di contenuto",null,"1. The foundation of the derivative -- The derivative of a function at a point -- The derivative as a function -- The Leibniz notation --"]
[{"$nulls":4},"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 --"]
[{"$nulls":4},"3. Using the derivatives of sine and cosine -- The derivatives of sine and cosine at 0 -- The derivative functions corresponding to sine and cosine --"]
[{"$nulls":4},"4. Using the derivative in velocity and acceleration --"]
[{"$nulls":4},"5. Local linear approximations -- The differential -- The traditional notation for the differential -- The accuracy of local linear approximations --"]
[{"$nulls":4},"6. Understanding the product and quotient rules -- The quotient rule --"]
[{"$nulls":4},"7. Applying the chain rule -- A plausibility argument for the chain rule -- The chain rule in the Leibniz notation -- The chain rule for more than two functions -- The proof of the chain rule --"]
[{"$nulls":4},"8. The problems of related rates --"]
[{"$nulls":4},"9. The intermediate value theorem -- Newton's method --"]
[{"$nulls":4},"10. Using implicit differentiation --"]
[{"$nulls":4},"Index."]