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Introductory calculus : maxima, minima, and special functions /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Geveci, Tunc (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2015.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Geveci, Tunc,  |e author. 
245 1 0 |a Introductory calculus :  |b maxima, minima, and special functions /  |c Tunc Geveci. 
264 1 |a New York [New York] (222 East 46th Street, New York, NY 10017) :  |b Momentum Press,  |c 2015. 
300 |a 1 online resource (1 PDF (216 pages)) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a electronic  |2 isbdmedia 
338 |a online resource  |b cr  |2 rdacarrier 
500 |a Co-published with Cognella Academic Publishing. 
500 |a Includes index. 
505 0 |a 1. Increasing and decreasing functions and extrema -- Some terminology -- The derivative test for monotonicity and extrema -- The proof of Fermat's theorem. 
505 8 |a 2. Understanding the mean value theorem -- Rolle's theorem and the mean value theorem. 
505 8 |a 3. Determining concavity and extrema -- The second derivative and extrema -- The proof of the second derivative test for local extrema. 
505 8 |a 4. Drawing the graph of a function. 
505 8 |a 5. Using maxima and minima in real applications -- Optimization -- Applications to economics. 
505 8 |a 6. The importance of inverse functions -- Inverse trigonometric functions. 
505 8 |a 7. Using the derivative of an inverse function -- The general expression -- The derivatives of inverse trigonometric functions -- The proof of theorem 1 (optional). 
505 8 |a 8. Applying the natural exponential function and the natural logarithm -- The natural logarithm. 
505 8 |a 9. Exponential functions with arbitrary bases -- Logarithmic functions with arbitrary bases -- Arbitrary powers of x. 
505 8 |a 10. Orders of magnitude in exponential functions -- Logarithmic growth -- The natural exponential function as a limit of polynomials. 
505 8 |a 11. Using exponential functions in growth and decay rates -- The solution of the differential equation y = ky -- Compound interest. 
505 8 |a 12. Introduction to hyperbolic and inverse -- Hyperbolic functions -- Inverse hyperbolic functions. 
505 8 |a 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]. 
500 |a Title from PDF title page (viewed on December 9, 2015). 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Calculus. 
650 0 |a Maxima and minima. 
650 0 |a Functions, Special. 
650 6 |a Calcul infinitésimal. 
650 6 |a Maximums et minimums. 
650 6 |a Fonctions spéciales. 
650 7 |a calculus.  |2 aat 
650 7 |a Calculus  |2 fast 
650 7 |a Functions, Special  |2 fast 
650 7 |a Maxima and minima  |2 fast 
776 0 8 |i Print version:  |a Geveci, Tunc.  |t Introductory Calculus I: Maxima, Minima, and Special Functions.  |d New York : Momentum Press, ©2015 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4389019  |z Texto completo 
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938 |a Momentum Press  |b NYMP  |n 9781606508541 
938 |a YBP Library Services  |b YANK  |n 14703140 
994 |a 92  |b IZTAP