设函数f(x)在【0,1】连续,在其开区间可导,且f(0)f(1)
设函数f(x)在闭区间[0,1]上连续,且0
设f(x)在区间[0,1]上连续,且f0)f(1)
设函数f(x)在闭区间[0,1]上可导,且f(0)×f(1)
设函数f(x)在闭区间【0.1】上连续,在【0.1】内可导,f(0)f(1)
设函数f(x)在闭区间「0,1」上连续,在(0,1)上可导,且f(0)=0,f(1)=1/3,
设函数f(x)在[a,b]上连续,在(a,b)可导,且f(a)*f(b)>0,f(a)*f((a+b)/2)
证明:设f(x)在(-∞,+∞)连续,则函数F(x)=∫(0,1)f(x+t)dt可导,并求F'(x)
设函数f(x)在(-∞,+∞)可导,且满足f(0)=1,f'(x)=f(x),证明f(x)=e^x
设函数f(x)在x=1连续,且f(x)/(x-1)的极限存在,求证f(x)在x=1可导.
设函数f(x)在(0,1]内连续可导,且lim(x趋向于0+)(√x)f`(x)存在,证明f(x)在(0,1]内一致连续
设f(x)在闭区间[-1,1]上连续,在开区间(-1,1)上可导,且|f'(x)|=M B|f(x)|>M C|f(x)
η设函数f(x)在闭区间(1,1)上连续,在开区间(0,1)内可导,且f(1)=0是证明在开区间(0,1)内至少存在