大學高數(shù)常用公式大全

1、高等數(shù)學公式高等數(shù)學公式112高等數(shù)學公式高等數(shù)學公式導數(shù)公式：導數(shù)公式：基本積分表：基本積分表：三角函數(shù)的有理式積分：三角函數(shù)的有理式積分：222212211cos12sinududxxtguuuxuux????????，，，axxaaactgxxxtgxxxxctgxxtgxaxxln1)(logln)(csc)(cscsec)(seccsc)(sec)(22????????????????222211)(11)(11)(arcco

2、s11)(arcsinxarcctgxxarctgxxxxx?????????????????????????????????????????????????CaxxaxdxCshxchxdxCchxshxdxCaadxaCxctgxdxxCxdxtgxxCctgxxdxxdxCtgxxdxxdxxx)ln(lncsccscsecseccscsinseccos22222222CaxxadxCxaxaaxadxCaxaxaaxdxCaxa

3、rctgaxadxCctgxxxdxCtgxxxdxCxctgxdxCxtgxdx???????????????????????????????????arcsinln21ln211csclncscseclnsecsinlncosln22222222?????????????????????????????CaxaxaxdxxaCaxxaaxxdxaxCaxxaaxxdxaxInnxdxxdxInnnnarcsin22ln22)ln(2

4、21cossin222222222222222222222020??高等數(shù)學公式高等數(shù)學公式312倍角公式：倍角公式：半角公式：半角公式：??????????????????cos1sinsincos1cos1cos12cos1sinsincos1cos1cos122cos12cos2cos12sin??????????????????????ctgtg正弦定理：正弦定理：余弦定理：余弦定理：RCcBbAa2sinsinsin???Ca

5、bbaccos2222???反三角函數(shù)性質：反三角函數(shù)性質：arcctgxarctgxxx????2arccos2arcsin??高階導數(shù)公式高階導數(shù)公式——萊布尼茲（萊布尼茲（LeibnizLeibniz）公式：）公式：)()()()2()1()(0)()()(!)1()1(!2)1()(nkknnnnnkkknknnuvvukknnnvunnvnuvuvuCuv????????????????????????中值定理與導數(shù)應用：中值

6、定理與導數(shù)應用：拉格朗日中值定理。時，柯西中值定理就是當柯西中值定理：拉格朗日中值定理：xxFfaFbFafbfabfafbf??????????)(F)()()()()()())(()()(???曲率：曲率：.10.)1(limMsMM:.13202aKaKyydsdsKMMsKtgydxydss?????????????????????????的圓：半徑為直線：點的曲率：弧長。：化量；點，切線斜率的傾角變點到從平均曲率：其中弧微分公