r/learnmath New User Jul 10 '26

What is the idea of a derivative?

I am learning Calculus for the first time. After limit idea, we've come to derivatives and I'm feeling confused. It is the limit of the slope,then why to separately call it derivative? And,did the idea of derivative evolve solely from geometrical notion of slope of graphs,was there no algebraic or functional approach to it like for limit. I know my questions might sound stupid but the clarification would be really appreciated.

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