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suppose that f is continuous on a closed I:= [a,b] and that f has a derivative in the open interval (a,b). then tehre exists at least one point c in (a,b) st f(b) - f(a) = f'(c)(b - a).

ok, so what if I put this in terms of f'(c)? isn't that the definition of the derivative?

So it's saying that if f has a derivative in (a,b), then there is a point c that has a derivative?

I"m kind of lost....because this sounds a bit redundant.

I"m kind of having trouble on what the mean value theorem is telling me....