1基本初等函数求导公式(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)211)(arcsinxx(14)211)(arccosxx(15)21(arctan)1xx(16)21(arccot)1xx函数的和、差、积、商的求导法则设)(xuu,)(xvv都可导,则(1)vuvu)((2)uCCu)((C是常数)(3)vuvuuv)((4)2vvuvuvu反函数求导法则若函数)(yx在某区间yI内可导、单调且0)(y,则它的反函数)(xfy在对应区间xI内也可导,且)(1)(yxf或dydxdxdy1