000864968 000__ 03410cam\a2200577\i\4500 000864968 001__ 864968 000864968 005__ 20210515162505.0 000864968 006__ m\\\\\o\\d\\\\\\\\ 000864968 007__ cr\cn\nnnunnun 000864968 008__ 151209s2015\\\\nyua\\\\oab\\\001\0\eng\d 000864968 020__ $$a9781606508541 $$q(electronic book) 000864968 035__ $$a(MiAaPQ)EBC4389019 000864968 035__ $$a(Au-PeEL)EBL4389019 000864968 035__ $$a(CaPaEBR)ebr11152406 000864968 035__ $$a(CaONFJC)MIL832651 000864968 035__ $$a(OCoLC)939262276 000864968 040__ $$aFINmELB$$bspa$$erda$$cFINmELB 000864968 050_4 $$aQA300$$b.G485 2015 000864968 0820_ $$a515$$223 000864968 1001_ $$aGeveci, Tunc.,$$eauthor. 000864968 24510 $$aIntroductory calculus :$$bmaxima, minima, and special functions /$$cTunc Geveci. 000864968 264_1 $$aNew York, [New York] (222 East 46th Street, New York, NY 10017) :$$bMomentum Press,$$c2015. 000864968 300__ $$a1 online resource (216 pages) :$$billustrations. 000864968 336__ $$atext$$2rdacontent 000864968 337__ $$acomputer$$2rdamedia 000864968 338__ $$aonline resource$$2rdacarrier 000864968 500__ $$aCo-published with Cognella Academic Publishing. 000864968 500__ $$aIncludes index. 000864968 5050_ $$a1. Increasing and decreasing functions and extrema -- Some terminology -- The derivative test for monotonicity and extrema -- The proof of Fermat's theorem -- 000864968 5058_ $$a2. Understanding the mean value theorem -- Rolle's theorem and the mean value theorem -- 000864968 5058_ $$a3. Determining concavity and extrema -- The second derivative and extrema -- The proof of the second derivative test for local extrema -- 000864968 5058_ $$a4. Drawing the graph of a function -- 000864968 5058_ $$a5. Using maxima and minima in real applications -- Optimization -- Applications to economics -- 000864968 5058_ $$a6. The importance of inverse functions -- Inverse trigonometric functions -- 000864968 5058_ $$a7. Using the derivative of an inverse function -- The general expression -- The derivatives of inverse trigonometric functions -- The proof of theorem 1 (optional) -- 000864968 5058_ $$a8. Applying the natural exponential function and the natural logarithm -- The natural logarithm -- 000864968 5058_ $$a9. Exponential functions with arbitrary bases -- Logarithmic functions with arbitrary bases -- Arbitrary powers of x -- 000864968 5058_ $$a10. Orders of magnitude in exponential functions -- Logarithmic growth -- The natural exponential function as a limit of polynomials -- 000864968 5058_ $$a11. Using exponential functions in growth and decay rates -- The solution of the differential equation y = ky -- Compound interest -- 000864968 5058_ $$a12. Introduction to hyperbolic and inverse -- Hyperbolic functions -- Inverse hyperbolic functions -- 000864968 5058_ $$a13. 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] -- 000864968 5058_ $$aIndex. 000864968 506__ $$aAccess limited to authorized users. 000864968 588__ $$aTitle from PDF title page (viewed on December 9, 2015). 000864968 650_0 $$aCalculus. 000864968 650_0 $$aMaxima and minima. 000864968 650_0 $$aFunctions, Special. 000864968 655_4 $$aLibros electronicos. 000864968 852__ $$bebk 000864968 85640 $$3ProQuest Ebook Central Academic Complete$$uhttps://univsouthin.idm.oclc.org/login?url=https://ebookcentral.proquest.com/lib/usiricelib-ebooks/detail.action?docID=4389019$$zOnline Access 000864968 909CO $$ooai:library.usi.edu:864968$$pGLOBAL_SET 000864968 980__ $$aEBOOK 000864968 980__ $$aBIB 000864968 982__ $$aEbook 000864968 983__ $$aOnline