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

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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)