03320nam 2200649 450 991046731910332120200520144314.0(CKB)4330000000017409(OCoLC)939718450(CaBNvSL)swl00405893(MiAaPQ)EBC4389019(Au-PeEL)EBL4389019(CaPaEBR)ebr11152406(CaONFJC)MIL832651(OCoLC)939262276(EXLCZ)99433000000001740920151209d2015 fy 0engurcnu||||||||rdacontentrdamediardacarrierIntroductory calculus maxima, minima, and special functions /Tunc GeveciNew York, [New York] (222 East 46th Street, New York, NY 10017) :Momentum Press,2015.1 online resource (216 pages) illustrationsCo-published with Cognella Academic Publishing.Includes index.1-60650-854-7 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.CalculusMaxima and minimaFunctions, SpecialLibros electronicos.Calculus.Maxima and minima.Functions, Special.515Geveci Tunc.755794FINmELBFINmELBBOOK9910467319103321Introductory calculus1977715UNINA