02865nam 2200649 450 991080773530332120230125233314.01-60650-855-5(CKB)3710000000588473(SSID)ssj0001625769(PQKBManifestationID)16363578(PQKBTitleCode)TC0001625769(PQKBWorkID)14931686(PQKB)10827129(OCoLC)922702274(CaBNvSL)swl00405895(MiAaPQ)EBC4389020(Au-PeEL)EBL4389020(CaPaEBR)ebr11152407(CaONFJC)MIL832650(OCoLC)1041607337(EXLCZ)99371000000058847320151209d2015 fy 0engurcnu||||||||txtccrIntroductory calculus understanding the derivative /Tunc GeveciNew York, [New York] (222 East 46th Street, New York, NY 10017) :Momentum Press,2015.1 online resource (136 pages) illustrationsCo-published with Cognella Academic Publishing.Includes index.1. The foundation of the derivative -- The derivative of a function at a point -- The derivative as a function -- The Leibniz notation -- 2. Using the derivative for powers and linear combinations -- The derivatives of rational powers of x -- The derivatives of linear combinations -- Higher-order derivatives -- The proof of the power rule for arbitrary rational powers -- 3. Using the derivatives of sine and cosine -- The derivatives of sine and cosine at 0 -- The derivative functions corresponding to sine and cosine -- 4. Using the derivative in velocity and acceleration -- 5. Local linear approximations -- The differential -- The traditional notation for the differential -- The accuracy of local linear approximations -- 6. Understanding the product and quotient rules -- The quotient rule -- 7. Applying the chain rule -- A plausibility argument for the chain rule -- The chain rule in the Leibniz notation -- The chain rule for more than two functions -- The proof of the chain rule -- 8. The problems of related rates -- 9. The intermediate value theorem -- Newton's method -- 10. Using implicit differentiation -- Index.CalculusDerivatives (Mathematics)Libros electronicos.Calculus.Derivatives (Mathematics)515Geveci Tunc.755794FINmELBFINmELBBOOK9910807735303321Introductory calculus3918926UNINA