均值定理for Derivatives Assume that f has a derivatives(finite or infinite) at each point of an open interval (a,b), and assume also that f is continuous at both endpoints a and b. Then there is a point c in (a,b) such that f(b)-f(a)=f'(c)(b-a). 均值定理for Differentiable functions Let S be an open subset of R^n and assume that f:S→R^m is differentiable at each point of S. Let x and y be two points in S such that http://ppt.cc/hSwk . Then for every vector a in R^m threr is a point z in L(x,y) such taht a*{f(y)-f(x)}=a*{f'(z)(y-x)}. 請問均值定理for Differentiable functions 前提不用要求函數要連續? 謝謝! --

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