Question about derivatives and continuous

kala · Dec 4, 2008

Why is it that every continuous function is a derivative?
I know that not every derivative is continuous, I just don't know really know why we would know that every continuous function is a derivative. I think is has something to do with the integral, but I don't know how. Any help?

mutton · Dec 4, 2008

Fundamental Theorem of Calculus

adriank · Dec 4, 2008

Specifically, every continuous function is integrable, so it is the derivative of some indefinite integral of itself.

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