Tip:
Highlight text to annotate it
X
This is a video from every step calculus dot 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
uhm 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 alpha
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 ahh
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 rangr
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 ahh pretty neat huh
every step calculus dot com go to my site
buy my programs and pass calculus