My textbook says it’s not a fraction but defined in terms of the limit of a fraction, what does this actually mean? I’m generally having trouble understanding the notation, particularly in the context of implicit differentiation.
Thanks.
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Everyone else already gave the definition in terms of derivative and also slope.
Personally I like this definition from a nice 1914 book of Calculus:
http://djm.cc/library/Calculus_Made_Easy_Thompson.pdf
Page 15 – dy/dx – a little bit of y over a little bit of x
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