• 2022-05-27
    设[tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex]在点[tex=0.929x1.0]mQGdf3XTfQx0Qped0rrM9g==[/tex]的某邻域内有[tex=0.643x0.786]/he/ol8BkDuTTL9yMPtH4Q==[/tex]阶连续导数,且[tex=17.071x1.571]k5weWvhPtr/rc567JmOhZam1R7E0QAgn3aCqDDre3kca350KdtC7MxfJpjx4hQPqWYeCp5OZ/NR9fsQwDAD2Ygl9iO3rfixqCd3mKeXeWD6rr0Jn/MyJnfcLZvKh8UtQPkiC8GPkmBanqjbsJBHbdw==[/tex], [tex=5.357x1.571]H9jXxM6lfSFUcDq6Ggvmo7A8rqd4fMiVPDo4JSNfxafRIy3z9vQA7v3OD0o71bea[/tex].证明:当[tex=0.643x0.786]/he/ol8BkDuTTL9yMPtH4Q==[/tex]为奇数时,[tex=2.357x1.357]c4OlizjdCRtXhPXx3JG8cyBZ6bGlIYMQNhrxCQFS5VI=[/tex]不是极值;当[tex=0.643x0.786]/he/ol8BkDuTTL9yMPtH4Q==[/tex]为偶数时,[tex=2.357x1.357]5s1Pyp2g/W5DyoDffIRFvJb8dtW9qy/mmMOGrha2vV4=[/tex]是极值.