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Can someone clarify Instantaneous rate of change? Please :)

Mathematics
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it is also denoted as dy/dx
the rate of change that occurs at an instant point in time as opposed to an average over an interval
i.e derivative of their function ...........

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Oh well that makes things much easier O.o I can handle derivatives ;D
the average rate of change is measured over an interval; (end-finish)/2 the instant rate of change at any given point is how fast its changeing at that moment
\[\Delta r = instantaneous change/\Delta t\]
end-start ....

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