作业帮设f(x)在[a,b]上连续,在(a,b)内可导(0
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设f(x)在[a,b]上连续,在(a,b)内可导(0
设f(x)在[a,b]上连续,在(a,b)内可导(0
设f(x)在[a,b]上连续,在(a,b)内可导(0
令g(x)=x^2,则g'(x)=2x.对f(x)和g(x)使用柯西中值定理,有[f(b)-f(a)]/(b^2-a^2)=f'(ξ)/2ξ,整理一下即可.
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设f(x)在[a,b]上连续,在(a,b)上可导(0
设函数f(x)在[a,b]上连续,在(a,b)内可导(0
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设f(x)在[a,b]上连续,在(a,b)内可导(0
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【50分高数微积分题】设f(x)在[a,b]上连续,在（a,b）内可导 f(a)f(b)>0 f(a)f[(a+b)/2]