Re: [考古] 台聯大94計算

[Honor1984 (希望願望成真)]

※ 引述《stillboy (joey)》之銘言：
: ※ 引述《JULIKEBEN (JU)》之銘言：
: : let f: R→R be twice differentiable .
: : if f'' is nowhere vanishing , then f has at most two distinct real roots.
: we given f have three roots x1,x2,x3 let x1>x2>x3
: and then we know f(x1)=f(x2)=(x3)
: so according to Roll's T.H.M. know
: have c1 on ( x1,x2) ,c2 on(x2,x3> let f'(x1)=0 ,f'(x2)=0
                                        ^^^^^^^^^^^^^^^^^^^
                                          f'(c1)=0 ,f'(c2)=0


: because f'(x1)=f'(x2)=0 and according to Roll's T.H.M
          ^^^^^^^^^^^^^^^^
          f'(c1)=f'(c2)=0

希望沒弄錯你的意思

: have c3 on <x1,x2> let f''(c3)=0 but f'' is nowhere vanishing
: so f only have two distinct
: : 請問高手
: : 這題該如何解??
: : 謝謝

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推 stillboy:不好意思=.=是c1,c2
→ stillboy:電腦打字就是會有這種毛病,囧
推 JULIKEBEN:thanks