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Autore: |
Geveci Tunc
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Titolo: |
Introductory calculus : maxima, minima, and special functions / / Tunc Geveci
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Pubblicazione: | New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2015 |
Descrizione fisica: | 1 online resource (216 pages) : illustrations |
Disciplina: | 515 |
Soggetto topico: | Calculus |
Maxima and minima | |
Functions, Special | |
Soggetto genere / forma: | Libros electronicos. |
Note generali: | Co-published with Cognella Academic Publishing. |
Includes index. | |
Nota di contenuto: | 1. Increasing and decreasing functions and extrema -- Some terminology -- The derivative test for monotonicity and extrema -- The proof of Fermat's theorem -- |
2. Understanding the mean value theorem -- Rolle's theorem and the mean value theorem -- | |
3. Determining concavity and extrema -- The second derivative and extrema -- The proof of the second derivative test for local extrema -- | |
4. Drawing the graph of a function -- | |
5. Using maxima and minima in real applications -- Optimization -- Applications to economics -- | |
6. The importance of inverse functions -- Inverse trigonometric functions -- | |
7. Using the derivative of an inverse function -- The general expression -- The derivatives of inverse trigonometric functions -- The proof of theorem 1 (optional) -- | |
8. Applying the natural exponential function and the natural logarithm -- The natural logarithm -- | |
9. Exponential functions with arbitrary bases -- Logarithmic functions with arbitrary bases -- Arbitrary powers of x -- | |
10. Orders of magnitude in exponential functions -- Logarithmic growth -- The natural exponential function as a limit of polynomials -- | |
11. Using exponential functions in growth and decay rates -- The solution of the differential equation y = ky -- Compound interest -- | |
12. Introduction to hyperbolic and inverse -- Hyperbolic functions -- Inverse hyperbolic functions -- | |
13. Using L'Hopital's rule for indeterminate forms -- The indeterminate form 0/0 -- The indeterminate form [infinity] / [infinity] -- The indeterminate form 0 / [infinity] -- The indeterminate forms 1[infinity], [infinity]0 and 00 -- The indeterminate form [infinity] - [infinity] -- | |
Index. | |
Titolo autorizzato: | Introductory calculus ![]() |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910467319103321 |
Lo trovi qui: | Univ. Federico II |
Opac: | Controlla la disponibilità qui |