Raw Transcript
This is a video from everystepcalculus.com demonstrating how my programs work on a TI-89 Titanium calculator and other calculators in the TI system for physics and calculus problems. This is a problem on average rate of change in calculus a problem that comes up in tests and professors talking about it. So let’s get started in my programs you have to push second alpha to put in the letters i n d e x and then press alph to put the eight and the open and closed parenthesis. press enter and you’re into my menu the first one is average rate of change because it’s got the a in it alphabetically we’re going to scroll to that press enter. This is a problem that might be on a test I give you some sort of definition average rate of change the amount of change in one item divided by the corresponding amount of change in another we’re gonna enter the function we’ll enter the one up here a little more elaborate let’s go. You have to press alpha before you enter anything in my entry lines here let’s go three times x squared plus six times x minus sixteen I always show you what you’ve entered so you can change it in case you made a mistake I say it’s ok and you have to have a range so we’re gonna give the range of a or b lower range, let’s go alpha eight and the upper range. Let’s go alpha eleven again I show you what you’ve entered here’s the formula for it f of x sub two minus f of x sub one divided by x two minus x one I’ve put the variables in there for you so you write this on your paper this is what you’d write on your test paper or homework right away, so you don’t think about it do what ever comes up on these screens notice I’m substituting eleven for all the x’s in this function that comes to four thirteen eleven the upper range here’s the lower range eight substituting eight for every thing you write this all on your paper here comes the answers. Now we plug it into the formula and the average rate of change is sixty three what does this mean this is the slope of a line sixty three over one rise over run you go up sixty three points on the y axis go over one on the x axis draw a line from that through the origin of the graph and that’s what you found the slope of a line. Congratulations. Pretty neat huh? everystepcalculus.com go to my site. Buy my programs and pass calculus.
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