MAT 21A Lecture 14: Average Rate Of Change, Motion, Velocity, and More
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Instantaneous rate ofa f xt h h flex. F xo lim flxoth h o h f xo. Thus instantaneous rates are limits of average rates providedthe limit exist cha. So when we say rate of change we mean instantaneous rate of example think about a circle how do youcalculate its area change in respectto r. Remember all the derivativestuff we did remember the notation dy_o f. Da dt de the question look at the highlighted partsand their meaning. Position suppose an object is moving across a weknow s on that e t si f ct. 1 axis line as a function of time attime t t se. 5fct fl t t tt going from point 1 to point 2 is considered displacement. That displacement is considered ss is time interval t the pointwhere youstart fc flstating ftp. cnet. Average velocity of average flirsaupldacefmmeent elgst an objectover that fctt. In otherwords p displacement is f glaringgo. ye. ettthefanfmmtsf. ghpao. tk untn ch from startingpoint.
