LEADER 02865nam 2200649 450 001 9910798022203321 005 20230125233314.0 010 $a1-60650-855-5 035 $a(CKB)3710000000588473 035 $a(SSID)ssj0001625769 035 $a(PQKBManifestationID)16363578 035 $a(PQKBTitleCode)TC0001625769 035 $a(PQKBWorkID)14931686 035 $a(PQKB)10827129 035 $a(OCoLC)922702274 035 $a(CaBNvSL)swl00405895 035 $a(MiAaPQ)EBC4389020 035 $a(Au-PeEL)EBL4389020 035 $a(CaPaEBR)ebr11152407 035 $a(CaONFJC)MIL832650 035 $a(OCoLC)1041607337 035 $a(EXLCZ)993710000000588473 100 $a20151209d2015 fy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIntroductory calculus $eunderstanding the derivative /$fTunc Geveci 210 1$aNew York, [New York] (222 East 46th Street, New York, NY 10017) :$cMomentum Press,$d2015. 215 $a1 online resource (136 pages) $cillustrations 300 $aCo-published with Cognella Academic Publishing. 300 $aIncludes index. 327 $a1. The foundation of the derivative -- The derivative of a function at a point -- The derivative as a function -- The Leibniz notation -- 327 $a2. 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 -- 327 $a3. Using the derivatives of sine and cosine -- The derivatives of sine and cosine at 0 -- The derivative functions corresponding to sine and cosine -- 327 $a4. Using the derivative in velocity and acceleration -- 327 $a5. Local linear approximations -- The differential -- The traditional notation for the differential -- The accuracy of local linear approximations -- 327 $a6. Understanding the product and quotient rules -- The quotient rule -- 327 $a7. 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 -- 327 $a8. The problems of related rates -- 327 $a9. The intermediate value theorem -- Newton's method -- 327 $a10. Using implicit differentiation -- 327 $aIndex. 606 $aCalculus 606 $aDerivatives (Mathematics) 608 $aLibros electronicos. 615 0$aCalculus. 615 0$aDerivatives (Mathematics) 676 $a515 700 $aGeveci$b Tunc.$0755794 801 0$bFINmELB 801 1$bFINmELB 906 $aBOOK 912 $a9910798022203321 996 $aIntroductory calculus$93691984 997 $aUNINA