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
根据柯西中值定理
(f(a)-f(b))/(g(a)-g(b))=f'(e)/g'(e) 其中e∈[b,a]
本题,可把上方的g(x)看成 x^2有：
(f(a)-f(b))/(a^2-b^2)=f'(e)/2*e
变换有：
2e*（f(a)-f(b)）= f'(e)*(a^2-b^2)

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