1、高等數(shù)學(xué)函數(shù)基本公式１.基本初等函數(shù)求導(dǎo)公式基本初等函數(shù)求導(dǎo)公式(1)0)(??C(2)1)(??????xx(3)xxcos)(sin??(4)xxsin)(cos???(5)xx2sec)(tan??(6)xx2csc)(cot???(7)xxxtansec)(sec??(8)xxxcotcsc)(csc???(9)aaaxxln)(??(10)(e)exx??(11)axxaln1)(log??(12)xx1)(ln??，(13)

2、211)(arcsinxx???(14)211)(arccosxx????(15)21(arctan)1xx???(16)21(arccot)1xx????函數(shù)的和、差、積、商的求導(dǎo)法則函數(shù)的和、差、積、商的求導(dǎo)法則設(shè))(xuu?，)(xvv?都可導(dǎo)，則（1）vuvu??????)(（2）uCCu???)(（C是常數(shù)）（3）vuvuuv?????)(（4）2vvuvuvu???????????反函數(shù)求導(dǎo)法則反函數(shù)求導(dǎo)法則若函數(shù))(yx?

3、?在某區(qū)間yI內(nèi)可導(dǎo)、單調(diào)且0)(??y?，則它的反函數(shù))(xfy?在對(duì)應(yīng)區(qū)間xI內(nèi)也可導(dǎo)，且)(1)(yxf????或dydxdxdy1?xxsin)(cos???xx2sec)(tan??xx2csc)(cot???xxxtansec)(sec??xxxcotcsc)(csc???aaaxxln)(??xxee??)(axxaln1)(log??xx1)(ln??211)(arcsinxx???211)(arccosxx????21

4、1)(arctanxx???21(arccot)1xx????d(cos)sindxxx??2d(tan)secdxxx?2d(cot)cscdxxx??d(sec)sectandxxxx?d(csc)csccotdxxxx??d()lndxxaaax?d(e)edxxx?1d(log)dlnaxxxa?1d(ln)dxxx?21d(arcsin)d1xxx??21d(arccos)d1xxx???21d(arctan)d1xxx??2