山东专升本高等数学公式

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axxaaactgxxxtgxxxxctgxxtgxaxxln1)(logln)(csc)(cscsec)(seccsc)(sec)(22222211)(11)(11)(arccos11)(arcsinxarcctgxxarctgxxxxxCaxxaxdxCshxchxdxCchxshxdxCaadxaCxctgxdxxCxdxtgxxCctgxxdxxdxCtgxxdxxdxxx)ln(lncsccscsecseccscsinseccos22222222CaxxadxCxaxaaxadxCaxaxaaxdxCaxarctgaxadxCctgxxxdxCtgxxxdxCxctgxdxCxtgxdxarcsinln21ln211csclncscseclnsecsinlncosln22222222CaxaxaxdxxaCaxxaaxxdxaxCaxxaaxxdxaxInnxdxxdxInnnnarcsin22ln22)ln(221cossin222222222222222222222020222212211cos12sinududxxtguuuxuuxAsincostgctg--sincos-tg-ctg90-cossinctgtg90+cos-sin-ctg-tg180-sin-cos-tg-ctg180+-sin-costgctg270--cos-sinctgtg270+-cossin-ctg-tg360--sincos-tg-ctg360+sincostgctg2sin2sin2coscos2cos2cos2coscos2sin2cos2sinsin2cos2sin2sinsinctgctgctgctgctgtgtgtgtgtg1)(1)(sinsincoscos)cos(sincoscossin)sin(xxarthxxxarchxxxarshxeeeechxshxthxeechxeeshxxxxxxxxx11ln21)1ln(1ln(:2:2:22...590457182818284.2)11(lim1sinlim0exxxxxxcos1sinsincos1cos1cos12cos1sinsincos1cos1cos122cos12cos2cos12sinctgtgRCcBbAa2sinsinsinCabbaccos2222arcctgxarctgxxx2arccos2arcsinLeibniz)()()()2()1()(0)()()(!)1()1(!2)1()(nkknnnnnkkknknnuvvukknnnvunnvnuvuvuCuvxxFfaFbFafbfabfafbf)(F)()()()()()())(()()(23333133cos3cos43cossin4sin33sintgtgtgtg222222122212sincossin211cos22coscossin22sintgtgtgctgctgctg.1;0.)1(limMsMM:.,13202aKaKyydsdsKMMsKtgydxydssbannnbannbanyyyyyyyynabxfyyyynabxfyyynabxf)](4)(2)[(3)(])(21[)()()(1312420110110babadttfabdxxfabykrmmkFApFsFW)(1)(1,2221,cos)(][..sin,cos,,cosPrPr)(Pr,cosPr)()()(2222222212121221221221cbacccbbbaaacbacbarwvbacbbbaaakjibacbbbaaababababababababaajajaajuABABABjzzyyxxMMdzyxzyxzyxzyxzyxzyxzyxzzyyxxzzyyxxuu113,,22211};,,{,1302),,(},,,{0)()()(1222222222222222222220000002220000000000czbyaxczbyaxqpzqypxczbyaxptzzntyymtxxpnmstpzznyymxxCBADCzByAxdczbyaxDCzByAxzyxMCBAnzzCyyBxxAzyzxyxyxyxyxFFyzFFxzzyxFdxdyFFyFFxdxydFFdxdyyxFdyyvdxxvdvdyyudxxuduyxvvyxuuxvvzxuuzxzyxvyxufztvvztuuzdtdztvtufzyyxfxyxfdzzdzzudyyudxxududyyzdxxzdz0),,()()(0),(),(),()],(),,([)](),([),(),(22),(),(1),(),(1),(),(1),(),(1),(),(0),,,(0),,,(yuGFJyvvyGFJyuxuGFJxvvxGFJxuGGFFvGuGvFuFvuGFJvuyxGvuyxFvuvu),,(),,(),,(30))(,,())(,,())(,,(2)},,(),,,(),,,({1),,(0),,(},,{,0),,(0),,(0))(())(())(()()()(),,()()()(000000000000000000000000000000000000000000000000000zyxFzzzyxFyyzyxFxxzzzyxFyyzyxFxxzyxFzyxFzyxFzyxFnzyxMzyxFGGFFGGFFGGFFTzyxGzyxFzztyytxxtMtzztyytxxzyxMtztytxzyxzyxzyxyxyxxzxzzyzylyxflfljieeyxflfjyfixfyxfyxpyxfzlxyfxflflyxpyxfz),(gradsincos),(grad),(grad),(),(sincos),(),(,00),(,0),(,00),(,),(,),(0),(),(22000020000000000BACBACyxAyxABACCyxfByxfAyxfyxfyxfyyxyxxyxDzDyDxzyxDyDxDDyDxDDDayxxdyxfaFayxydyxfFayxxdyxfFFFFFaaMzxoydyxxIydyxyIxdyxdyxyMMydyxdyxxMMxdxdyyzxzAyxfzrdrdrrfdxdyyxf23222232222322222D22)(),()(),()(),(},,{)0(),,0,0(),(,),(),(),(,),(),(1),()sin,cos(),(dvyxIdvzxIdvzyIdvxMdvzMzdvyMydvxMxdrrrFddddrdrrFdxdydzzyxfddrdrdrdrrddvrzryrxzrrfzrFdzrdrdzrFdxdydzzyxfzzryrxzyxr)()()(1,1,1sin),,(sin),,(),,(sinsincossinsincossin),sin,cos(),,(,),,(),,(,sincos222222200),(0222)()()()()](),([),(),(,)()(),(22tytxdtttttfdsyxfttytxLLyxfL0),(),(),(),()0,0(),(),(21212,)()()coscos()}()](),([)()](),([{),(),()()(00),(),(00yxdyyxQdxyxPyxuyxuQdyPdxyPxQyPxQGyxQyxPGydxxdydxdyADyPxQxQyPQdyPdxdxdyyPxQQdyPdxdxdyyPxQLdsQPQdyPdxdttttQtttPdyyxQdxyxPtytxLyxyxDLDLDLLLLdsRQPRdxdyQdzdxPdydzdzdxzxzyxQdzdxzyxQdydzzyzyxPdydzzyxPdxdyyxzyxRdxdyzyxRdxdyzyxRdzdxzyxQdydzzyxPdxdyyxzyxzyxzyxfdszyxfzxyzxyxyDDDDyx)coscoscos(]),,(,[),,(],),,([),,()],(,,[),,(),,(),,(),,(),(),(1)],(,,[),,(22dsAdvAdsRQPdsAdsnAzRyQxPdsRQPRdxdyQdzdxPdydzdvzRyQxPnndiv)coscoscos(...,0div,div)coscoscos()(dstARdzQdyPdxARQPzyxAyPxQxRzPzQyRRQPzyxRQPzyxdxdydzdxdydzRdzQdyPdxdxdyyPxQdzdxxRzPdydzzQyRkjirotcoscoscos)()()(nnnnqqqqqnn1312112)1(32111112nnnnnnnnnnsuuusUUulim;3111lim2111lim12111113214321,0lim)0,(nnnnnnnnurrusuuuuuuuuuuu111)1(1)1()1()2()1()2()2()1(232121pnpnnnuuuuuuuupnnnn0010)3(lim)3(1111111221032RRRaaaaRRxRxRxRxaxaxaaxxxxxxxnnnnnnnnnnnnnnnnnxnfxfxffxfxRxfxxnfRxxnxfxxxfxxxfxf!)0(!2)0()0()0()(00lim)(,)()!1()()(!)()(!2)())(()()(2010)1(00)(20000)()!12()1(!5!3sin)11(!)1()1(!2)1(1)1(121532xnxxxxxxxnnmmmxmmmxxnnnm2sin2cossincosixixixixixeexeexxixe0],[cos,sin2cos,2sin,cos,sin,1cossin)sincos(2)sin()(001010nxnxxxxxxtAbAaaAanxbnxaatnAAtfnnnnnnnnnnnnnxaaxfnnxdxxfabnxbxfnxdxxfbannxdxxfbnnxdxxfanxbnxaaxfnnnnnnnnnnncos2)(2,1,0cos)(20sin)(3,2,1nsin)(201241312116413121124614121851311)3,2,1(sin)(1)2,1,0(cos)(12)sincos(2)(00022222222222222210l2llnllnnnnndxlxnxflbndxlxnxflallxnblxnaaxf)3,2,1(sin)(1)2,1,0(cos)(12)sincos(2)(10uxyuuduxdxudxduudxduxudxdyxyuxyyxyxfdxdyCxFyGdxxfdyygdxxfdyygdyyxQdxyxPyxfy)()(),(),()()()()()()(0),(),(),()1,0()()(2))((0)(,0)()()(1)()()(nyxQyxPdxdyeCdxexQyxQCeyxQxQyxPdxdyndxxPdxxPdxxPCyxuyxQyuyxPxudyyxQdxyxPyxdudyyxQdxyxP),(),(),(0),(),(),(0),(),(0)(0)()()()(22xfxfxfyxQdxdyxPdxyd2122,)(2,,(*)0)(1,0(*)rryyyrrqprrqpqyypy(*),321rr21rr(*))04(2qpxrxrececy2121)04(2qpxrexccy1)(21)04(2qp242221pqpirir)sincos(21xcxceyx]sin)(cos)([)()()(,)(xxPxxPexfxPexfqpxfqyypynlxmx

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