Introductory calculus : maxima, minima, and special functions / / 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 (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