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£©£®
¢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£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

ÒÑÖªf£¨x£©ÊǶ¨ÒåÔÚRÉϵÄÆ溯Êý£¬ÇÒf(x+
¦Ð
2
)
ÊÇżº¯Êý£¬¸ø³öÏÂÁÐËĸö½áÂÛ£º
¢Ùf£¨x£©ÊÇÖÜÆÚº¯Êý£»
¢Úx=¦ÐÊÇf£¨x£©Í¼ÏóµÄÒ»Ìõ¶Ô³ÆÖ᣻
¢Û£¨-¦Ð£¬0£©ÊÇf£¨x£©Í¼ÏóµÄÒ»¸ö¶Ô³ÆÖÐÐÄ£»
¢Üµ±x=
¦Ð
2
ʱ£¬f£¨x£©Ò»¶¨È¡×î´óÖµ£®
ÆäÖÐÕýÈ·µÄ½áÂ۵ĴúºÅÊÇ£¨¡¡¡¡£©
A¡¢¢Ù¢ÛB¡¢¢Ù¢ÜC¡¢¢Ú¢ÛD¡¢¢Ú¢Ü

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

ÒÑÖªf¡ä£¨x£©ÊÇf£¨x£©µÄµ¼º¯Êý£¬ÔÚÇø¼ä[0£¬+¡Þ£©ÉÏf¡ä£¨x£©£¾0£¬ÇÒżº¯Êýf£¨x£©Âú×ãf(2x-1)£¼f(
13
)
£¬ÔòxµÄÈ¡Öµ·¶Î§ÊÇ
 
£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

ÒÑÖªf¡ä£¨x£©ÊÇf£¨x£©µÄµ¼º¯Êý£¬ÔÚÇø¼ä[0£¬+¡Þ£©ÉÏf¡ä£¨x£©£¾0£¬ÇÒżº¯Êýf£¨x£©Âú×ãf(2x-1)£¼f(
1
3
)
£¬ÔòxµÄÈ¡Öµ·¶Î§ÊÇ£¨¡¡¡¡£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

ÒÑÖªf£¨x£©ÊǶ¨ÒåÔÚRÉϵĿɵ¼º¯Êý£¬¶ÔÈÎÒâx¡Ê£¨0£¬+¡Þ£©£¬¶¼ÓÐf£¨x£©£¾0£¬ÇÒf£¨x£©£¾f¡ä£¨x£©•lnxx£¬Ôòf£¨2£©Óëf£¨e£©•ln2µÄ´óС¹ØϵÊÇ£¨¡¡¡¡£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º²»Ïê ÌâÐÍ£ºµ¥Ñ¡Ìâ

ÒÑÖªf£¨x£©ÊǶ¨ÒåÔÚRÉϵĿɵ¼º¯Êý£¬¶ÔÈÎÒâx¡Ê£¨0£¬+¡Þ£©£¬¶¼ÓÐf£¨x£©£¾0£¬ÇÒf£¨x£©£¾f¡ä£¨x£©•lnxx£¬Ôòf£¨2£©Óëf£¨e£©•ln2µÄ´óС¹ØϵÊÇ£¨¡¡¡¡£©
A£®f£¨2£©£¾f£¨e£©•ln2B£®f£¨2£©=f£¨e£©•ln2C£®f£¨2£©£¼f£¨e£©•ln2D£®²»ÄÜÈ·¶¨

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸