作业帮f(x)在[a,b]上连续,在(a,b)上可导,f(a)=f(b),f(x)不恒为常数,试证存在?属于(a,b)使f'(?)>0
来源：学生作业帮助网 编辑：作业帮 时间：2024/07/14 04:14:54
![f(x)在[a,b]上连续,在(a,b)上可导,f(a)=f(b),f(x)不恒为常数,试证存在?属于(a,b)使f'(?)>0](/uploads/image/z/13945997-29-7.jpg?t=f%28x%29%E5%9C%A8%5Ba%2Cb%5D%E4%B8%8A%E8%BF%9E%E7%BB%AD%2C%E5%9C%A8%28a%2Cb%29%E4%B8%8A%E5%8F%AF%E5%AF%BC%2Cf%28a%29%3Df%28b%29%2Cf%28x%29%E4%B8%8D%E6%81%92%E4%B8%BA%E5%B8%B8%E6%95%B0%2C%E8%AF%95%E8%AF%81%E5%AD%98%E5%9C%A8%3F%E5%B1%9E%E4%BA%8E%28a%2Cb%29%E4%BD%BFf%27%28%3F%29%3E0)
xj@F < DHe\lR.H\LiE1Juf`1#G&Ѽd[OaD8Lv ˫y
NA'-\ Ijl6ߧjܱl=vLX# @$7qlIN
f(x)在[a,b]上连续,在(a,b)上可导,f(a)=f(b),f(x)不恒为常数,试证存在?属于(a,b)使f'(?)>0
f(x)在[a,b]上连续,在(a,b)上可导,f(a)=f(b),f(x)不恒为常数,试证存在?属于(a,b)使f'(?)>0
f(x)在[a,b]上连续,在(a,b)上可导,f(a)=f(b),f(x)不恒为常数,试证存在?属于(a,b)使f'(?)>0
因为f(a)=f(b),又因为f不恒为常数所以必存在m,m在a,b之间,使得f'(m)=0,则若f(m)大于f(a),则存在n在a,m之间使得f‘(n)》0,若f(m)小于于f(a),则存在n在m,b之间使得f‘(n)》0
f(x)在a到b上连续,f(x)
设f(x)在[a,b]上连续,且a
设函数f(x)在[a,b]上连续,a
设f(x)在[a,b]上连续,且a
f(x)在[a,b]上连续a
若函数f(x)在[a,b]上连续,a
若f(x)在[a,b]上连续,a
f(x)在[a,b]上连续,a
设f(x)在[a,b]上连续,且a
设f(x)在[a,b]上连续,a
设函数f(x)在[a,b]上连续,a
若函数f(x)在[a,b]上连续,a
若函数f(x)在[a,b]上连续,a
设函数f(x)在[a,b]上连续,在(a,b)内可导且f'(x)
如果f(x)在[a,b]上一致连续,证明f(x)在[a,b]上有界
如果f(x)在[a,b]上一致连续,证明f(x)在[a,b]上有界
假设f(x)在区间[a,b]上连续 在(a,b)内可导 且f'(x)
设函数f(x)在[a,b]上连续,在(a,b)上可导且f'(x)