ÌâÄ¿ÄÚÈÝ
ÒÑÖªf'£¨x£©ÊÇf£¨x£©µÄµ¼Êý£¬¼Çf£¨1£©£¨x£©=f'£¨x£©£¬f£¨n£©£¨x£©=£¨f£¨n-1£©£¨x£©£©'£¨n¡ÊN£¬n¡Ý2£©£¬¸ø³öÏÂÁÐËĸö½áÂÛ£º
¢ÙÈôf£¨x£©=xn£¬Ôòf£¨5£©£¨1£©=120£»
¢ÚÈôf£¨x£©=cosx£¬Ôòf£¨4£©£¨x£©=f£¨x£©£»
¢ÛÈôf£¨x£©=ex£¬Ôòf£¨n£©£¨x£©=f£¨x£©£¨n¡ÊN+£©£»
¢ÜÉèf£¨x£©¡¢g£¨x£©¡¢f£¨n£©£¨x£©ºÍg£¨n£©£¨x£©£¨n¡ÊN+£©¶¼ÊÇÏàͬ¶¨ÒåÓòÉϵĿɵ¼º¯Êý£¬h£¨x£©=f£¨x£©•g£¨x£©£¬Ôòh£¨n£©£¨x£©=f£¨n£©£¨x£©•g£¨n£©£¨x£©£¨n¡ÊN+£©£®
Ôò½áÂÛÕýÈ·µÄÊÇ______£¨¶àÌî¡¢ÉÙÌî¡¢´íÌî¾ùµÃÁã·Ö£©£®
¢ÙÈôf£¨x£©=xn£¬Ôòf£¨5£©£¨1£©=120£»
¢ÚÈôf£¨x£©=cosx£¬Ôòf£¨4£©£¨x£©=f£¨x£©£»
¢ÛÈôf£¨x£©=ex£¬Ôòf£¨n£©£¨x£©=f£¨x£©£¨n¡ÊN+£©£»
¢ÜÉèf£¨x£©¡¢g£¨x£©¡¢f£¨n£©£¨x£©ºÍg£¨n£©£¨x£©£¨n¡ÊN+£©¶¼ÊÇÏàͬ¶¨ÒåÓòÉϵĿɵ¼º¯Êý£¬h£¨x£©=f£¨x£©•g£¨x£©£¬Ôòh£¨n£©£¨x£©=f£¨n£©£¨x£©•g£¨n£©£¨x£©£¨n¡ÊN+£©£®
Ôò½áÂÛÕýÈ·µÄÊÇ______£¨¶àÌî¡¢ÉÙÌî¡¢´íÌî¾ùµÃÁã·Ö£©£®
¢ÙÖУ¬ÓÉf£¨x£©=xn£¬µÃf£¨5£©£¨1£©=5¡Á4¡Á3¡Á2¡Á1=120£¬¹Ê¢ÙÕýÈ·£»
¢ÚÖУ¬f£¨1£©£¨x£©=f¡ä£¨x£©=-sinx£¬f£¨2£©£¨x£©=-cosx£¬f£¨3£©£¨x£©=sinx£¬f£¨4£©£¨x£©=cosx=f£¨x£©£¬¹Ê¢ÚÕýÈ·£»
¢ÛÖУ¬ÓÉÓÚf£¨x£©=ex£¬ËùÒÔf£¨1£©£¨x£©=ex£¬f£¨2£©£¨x£©=ex£¬¡£¬f£¨n£©£¨x£©=ex=f£¨x£©£¬¹Ê¢ÛÕýÈ·£»
¢ÜÖУ¬Áîf£¨x£©=x£¬g£¨x£©=1£¬Ôòh£¨x£©=x£¬
¶øh£¨1£©£¨x£©=1£¬f£¨1£©£¨x£©•g£¨1£©£¨x£©=0£¬ËùÒÔh£¨1£©£¨x£©¡Ùf£¨1£©£¨x£©g£¨1£©£¨x£©£¬¹Ê¢Ü´íÎó£»
¹Ê´ð°¸Îª£º¢Ù¢Ú¢Û£®
¢ÚÖУ¬f£¨1£©£¨x£©=f¡ä£¨x£©=-sinx£¬f£¨2£©£¨x£©=-cosx£¬f£¨3£©£¨x£©=sinx£¬f£¨4£©£¨x£©=cosx=f£¨x£©£¬¹Ê¢ÚÕýÈ·£»
¢ÛÖУ¬ÓÉÓÚf£¨x£©=ex£¬ËùÒÔf£¨1£©£¨x£©=ex£¬f£¨2£©£¨x£©=ex£¬¡£¬f£¨n£©£¨x£©=ex=f£¨x£©£¬¹Ê¢ÛÕýÈ·£»
¢ÜÖУ¬Áîf£¨x£©=x£¬g£¨x£©=1£¬Ôòh£¨x£©=x£¬
¶øh£¨1£©£¨x£©=1£¬f£¨1£©£¨x£©•g£¨1£©£¨x£©=0£¬ËùÒÔh£¨1£©£¨x£©¡Ùf£¨1£©£¨x£©g£¨1£©£¨x£©£¬¹Ê¢Ü´íÎó£»
¹Ê´ð°¸Îª£º¢Ù¢Ú¢Û£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿