【正文】
xaey axax c o ss in ???)c o ss in( bxbbxae ax ??)a r c t a n()s in (22 abbxbae ax ???????)]c os ()s in ([22 ?????????? bxbebxaebay axax)2s in (2222 ??????? bxbaeba ax??)s in ()( 222)( ????? nbxebay axnn )ar c t an( ab??2. 高階導(dǎo)數(shù)的運算法則 : 則階導(dǎo)數(shù)具有和設(shè)函數(shù) ,nvu)()()()()1( nnn vuvu ???)()()()2( nn CuCu ?)()(0)()()()2()1()()(!)1()1(!2)1()()3(kknnkknnkknnnnnvuCuvvukknnnvunnvnuvuvu???????????????????????萊布尼茲公式 例 6 ., )20(22 yexy x 求設(shè) ?解 則由萊布尼茲公式知設(shè) , 22 xveu x ??0)()(!2)120(20)()(20)(2)18(22)19(22)20(2)20(???????????xexexeyxxx22!21920222022182192220????????xxxexexe)9520(2 2220 ??? xxe x : 常用高階導(dǎo)數(shù)公式 nn xnx ??? ??????? )1()1()()4( )( ?nnnxnx )!1()1()( l n)5( 1)( ??? ?)2s in ()( s in)2( )( ???? nkxkkx nn)2c o s ()( c