If my understanding is correct the definition of a derivative is lim h->0 (f(x+h)-f(x))/h However, I've also seen this used: lim x->c (f(x)-f(x))/(x-c) are these both considered valid definition for the derivative or does the derivative have to tend towards zero? I am a bit confused because I see these two versions alternating and wondering which one I should use and where. And my teacher is picky about definitions and notation so I don't know which one he would like to see on the exam.(adsbygoogle = window.adsbygoogle || []).push({});

Thank you

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# What version of the definition of derivative

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