Sine Taylor Series Solved on TI-89: Raw Transcript

Okay this is Tom from every step
calculus dot com I’m gonna do the Taylor series with
sin of X
and let’s get started you put index
9 into the entry line here
the and I give you instructions on how to do that
press ENTER here and we’re gonna scroll down to
I going to scroll up because closer to the end of the alphabet then in the middle
and I’m gonna go to Taylor
maclaurin and press Enter
and
the ask for if they ask for maclaurin and then you’re gonna put zero in for a
otherwise you can put any number in for a actually a
is the X value on the function that you’re gonna
approximate the slope of a line at
here’s a formula for the Maclaurin series
and
for the Taylor series right these all on your paper all the time
look like a genius enter the…you have to
press alpha first before we do anything on our entry lines here’s I’m going to Press alpha
and let’s see sine
second sine of
X close up parentheses
press enter
and centered at let’s say
3 alpha
3 I always show you what you’ve entered, you can change it if you want I say it’s okay
here’s the formula it’s a Taylor series because it’s not zero for a
understand they have to be derivatives have to be
on going one after the other
that’s part of the Taylor series working
write this on your paper this is the first five derivatives of that
and then we’re going to compute the
derivatives at 3 the point we want the
slope of a line to be in that function
and we’re going to have a factorial here 2_3_4_5
to be computed at that we’ve come up with these answers here
write all this on your paper it’s all-important
and here’s the answer
cosine of 3 x minus 3
minus sin of 3 times x
minus 3 squared divided by 2 divide by 6 by 24 by 20
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