Question about derivatives and continuous

[kala]

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]

Fundamental Theorem of Calculus

 

[adriank]

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