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PDF-Theinstantaneousrateofchangeatsomepointx0=ainvolves rsttheaveragerateo PDF document

xfxfa xafahfa hEitheroftheselasttworatiosisknownasadi erencequotientatermweshallusrepeatedlyWiththisnotationtheinstantaneousrateofchangeoffatxaisthelimitifitexistslimh0fahf

x=f(x)f(a) xa=f(a+h)f(a) h:Eitheroftheselasttworatiosisknownasadi erencequo-tient atermweshallusrepeatedly.Withthisnotationthein-stantaneousrateofchangeoffatx=aisthelimit ifitexists limh!0f(a+h)f

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