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Logarithmic Differentiation on the TI-89 | Every Step Calculus Video

October 15, 2013 by Tommy Leave a Comment

Raw Transcript

This is a video from EveryStepCalculus.com demonstrating how my programs work on a TI-89 calculator and other calculators in the TI system for physics and calculus problems. I’m going to differentiate a log to another base uhm and let’s get started for my menu you have to press second alpha and put i n d e x letters in here and then press alpha and to put the eight and the open and closed parenthesis press enter and you’re into my menu. I’m going to scroll down to ah this time I’m going to scroll up if you go up here you can go to the bottom of the menu here where it’s all alphabetical and were going to go up here to log problems here were going to differentiate so were going to press six can scroll down with the cursor or press six, I’m going to press six and I’m going to choose number two to do log to the base a and we’re going to enter our function you have to press alpha before you enter anything into these entry lines in this case were going to have to press alpha were going to have to press then second alpha that becomes black here in this little bottom part of the screen so you can put letters in because we need to there is no fuction to put log so we need to do that log and then were going to press ah alpha to put to the base let’s put base five and then we have to add the parenthesis and put in our function ah six times x squared. I always show what you’ve entered you can change it if you want so were doing log of base five to this function you write all this down on your paper exactly as you see it
f of x is six x squared and the a is five that’s the base here’s the formula y prime equals the one divided by the quantity f of x times the log of a and here’s your answer ahh pretty simple pretty neat, huh?  everystepcalculus.com. Go to my site buy my programs and pass calculus.

Filed Under: Logarithmic Differentiation

Log to the Base (a) on TI-89 | Every Step Calculus Video

October 15, 2013 by Tommy Leave a Comment

Raw Transcript

This is the video on log to the base whatever and it’s pretty easy if you’re always into it but it’s complicated if you look at it each each time and say what the heck’s going on there. So it’s best to have it programmed and just forget it put the stuff in and forget it. Um, turn the calculator on here, I’m gonna get out of this program here by pressing ON,
ESCAPE and HOME and I’m gonna clear the entry line there. And I want to clear the screen up here too so I’ll press F1, 8 on that Get used to those they are always necessary and all very useful, you have to enter index eight in here to get the main menu so I’ll press second alpha second here Alpha makes it dark show your showing your entering letters i_n_d_e_x and then you have to go Alpha again to get in numbers again in parentheses and other functions for numbers, ok so you press Enter and your into my menu. This one’s on logs, were going to scroll up here… many things go to get quotient rule quadratic formula whatever you need in here limits, path of an object, that’s a beautiful program shows you everything possible, I give you a sheet that shows you the whole outline what’s on the calculator so you can really look at it on one 8×10 sheet see exactly what youre going after here such a small screen on the titanium anyways we’re gonna go.. it’s all alphabetical. So we got natural log here and we got log of x you know log of base a different base we’re going to scroll down to there there’s a number before it or letter, there’s numbers up here there’s letters here if you want to go to if you want to do a quick and you knew the letter you can just pull Alpha find the letter on here and you would go to that that particular program and so we’re gonna go log problems here and we have to put in logs and again we have to go second and Alpha notice there’s no darkness here so we’re not doing it yet. We’re not into the letters now we are and we need to push, put it in l_o_g and then we need to put the base in there so lets go to base 8 and then we have to go. I have parentheses so that we’re going to put in we’re gonna solve for 5 times x minus one and closed parentheses and we have to make it equal, if you didn’t put any didn’t make any mistakes up here for instance let’s try to enter it now with um.. it says must be an equation with an equal sign so then it goes back now to the program and then you can um you can Press the right cursor here goes to the right side of the program you can put the equal sign in there notice it didn’t put the equal sign in so I have to press Alpha again and then the equal sign, keep track of that and let’s say it equals to 3 okay then press Enter here, notice here we have the log of 8 f of x which equals three and we say that’s what we entered, cool give you the choice of finding x or the exponential form if you went to the exponential form right now it wouldn’t find it because of x and it tells you that you you can’t you must solve for x first so were gonna solve for x here first or sometimes in tests that’s to only thing your doing here’s the answer…8 to the radical 3 equals the inside 5x-1 5x minus 1, equals 512, x equals 513 over 5, that’s the correct answer if you want to get an approximate answer you divide 5 into 513 but this is the exact answer pretty neat huh? Go to my website EveryStepCaluclus.com. Enjoy my programs.

Filed Under: Log to the Base Tagged With: Log to the Base a

log a(x) Evaluate on the TI-89 App | Every Step Calculus Video

October 15, 2013 by Tommy Leave a Comment

Raw Transcript

I’m going to demonstrate the log to a base x or rather the base you want on the titanium calculator, these are particularly difficult to remember them from months and months from week to week and I program them, so they are not easy but it will be easy if you studied every second of your life like a professor does. So let’s get started, we are going to press, put my code in to get to my menu, second alpha, you can see the black mark here on your screen which tell you, you can do letters and we are going to put in “index”, we have to press alpha again to get to the second numbers 8 and close parenthesis, it’s all in the instructions that I send you when you purchase my programs. And then we want to scroll down here, notice all the things you can do, all the different things in the menu, all in alphabetical order, we’re going to go down to log of x here and we are going to press enter and we’re going to get into log problems. I’m proud of this program because, well let’s do evaluate for instance, you can press the number before the program or scroll down to it, press the number, give you some examples so you’ll know what to enter and we are going to put in, you’ve got to press alpha before you add anything into these lines here and you need to put the log, the word log in there, let’s see if it happens, if it doesn’t happen that’s number 4 so we have to press the alpha maybe second alpha again and then put in log and then alpha, we are going to put in a number, so we are going to do log to the base 2 and let’s do 1 divided by 8 or 1/8 and it shows you what you’ve entered, you can change it or accept it, I say it’s ok, press number 1, you know it was supposed to take you right down on your paper and this is the way it is, you take the same base on both sides and so am taking log 2 or base 2 to the x here and then we are going to do base 2 to the 8 which is 3 and then because this is denominator you have to bring it to the numerator so it will make an exponent, so its 2 to the minus 3 and if they have the same base then the exponents are going to equal, so here we have X equals a minus 3. Let’s do another one. Let’s take log of… on the internet, people have said how do you do by hand, step by step for instance log 3 to the 15 and sometimes the answer is you can’t, you need the log tables or you need the calculator to do it, you cannot do things by hand, everything by hand, so even though they try to tell you that you can, show you different things, the real answer is you can’t do it by hand, you have to use a calculator and that’s the reason that Napier did the log tables in the first place to eliminate that. So let’s do log to the … lets go and put in log Alpha 3(15). You can see log3(15), I say it’s ok again I’m going to go one. Notice I told you that you have to use the calculator or table of logs to solve this and so the way you do that is you add the X=log3(15) and then you convert it to exponential form, 3 to the X equals 15 that’s the question but then you divide log of 15 by log of 3, and log of 15 in the calculator is 2.71, log of 3 is 1.1, so the answer is 2.465, so 3 to the 2.465 is equal to 15 and you can go back to another problem, you can also go back to the main menu but I’ll save that for another video. everystepcalculus.com, enjoy my programs they’re great.

Filed Under: Log to the Base Tagged With: log a(x), log to a base x

Local Max and Min | Extrema on the TI-89 | Every Step Calculus Video

October 15, 2013 by Tommy Leave a Comment

 

Local Max & Min Extrema on the TI-89: Raw Transcript

This is a video on a program app for the texas instruments ti 89
titanium calculator that I’ve programmed
with regard to graphing by hand where we’re going to find
the local extrema or the local maximum and minimums
and to get into my menu you have to press second alpha
then the letters i n d e x and then press alpha again
to enter the open and closed parenthesis press enter
and you are into my menu you scroll down
all alphebetical to what you want
there’s many many things in my menu here for calculus
for you to pass calculus do your homework etcetra
right now we want to find local max and mins I tell you to start a graph on your paper
and we’re going to enter our function you have to enter alpha before you enter anything
in these entry lines in my programs alpha, and were going to do this function
three times x squared minus x to the fourth power
i show you what you’ve entered so in case you’ve made a mistake you can change
it give you that option
I say it’s ok We want to find local max and mins
you can find all of these things critical points
crosses x axis crosses y axis
all to get your graphing by hand perfect we want to know what local maximum and mins
you take the first function take the first derivative
you factor that and you get your critical numbers
these are where these points cross the x axis in this graph
mark them on your graph right now x equals one point two two
on the right side of the zero and negative here
ah, we need to find the critical points that’s where you add the y value
so you need to plug these critical numbers into the original function to get the critical
point and here’s the x y value right now one point
two two I show you what to do
you wrirte this stuff down on your paper so you get an a on this problem
exactly as you see it and here’s the x and y value for that critical
point the next one is zero
the critical point is zero zero and for the minus one point two two
the critical point is minus one point two two and two point two five
that’s the x y value so those are the critical points
next thing you want to find you want to do the second derivative test
to find the local maximum or local minimum if they are a minimum, I like to put a valley
on that critical point that you’ve marked on your graph already
and if it’s a maximum I put a mountain right there
a small tiny mountain at that point so it tells me when I draw the graph
as to how to what is going to happen on that anyways to do the second derivative test
you find the second derivative after you find the first one
which I do for you and you plug that critical point into the
second derivative and the anwer is either negative or positive
if it’s negative its a maximum in this case put the zero in there
comes up with six that’s a minimum
and minus twenty two comes up with a minus eleven point nine
that’s negative again so that’s a miximum So under those, in this case you’d put a mountain
and if it’s a minimum you’d put a tiny valley
and after you find the x values of where it crosses the x axis
you are almost done with graphing that function pretty neat huh
everystepcalculus.com go to my site
enjoy my programs and pass calculus

Filed Under: Local Min and Max Tagged With: Extrema

Length Of Arc on the TI-89 App | Every Step Calculus Video

October 15, 2013 by Tommy Leave a Comment

Raw Transcript

This is one of my fabulous videos on length of an arc and let’s get started uhm again second, second alpha to get the letters so you can go index and then alpha eight closed parenthesis press enter and here’s my menu you can scroll up to anything you want burt we’re going to do length of an arc right now so were, that’s the number s so you can push alpha s on there too if you knew the program and needed to get there quick which I’m going to do right now. These are position vectors because they’re radius and time and ahh that’s what arc’s are and ahh this is the in vector form the r t form
r t coordinates for vectors x to the t, y to the t, z to the t and we’ll enter them now you have to push alpha again to enter the thing I got the examples up here in a test or on a homework whatever uhm let’s go alpha eight times t I always like to put times in there not just eight t calculator won’t compute that sometimes but I’ve found sometimes it didn’t so I do it all the time and then I’m safe and uhm alpha minus three times t and alpha seven times t shows you what you’ve entered here’s the vector you’re entering for the r t formula and I say it’s ok and so now we go to the r t formula which you have other ones acceleration, linear equation, parametric equations speed, unit tangent vector, velocity all these different choices right now we want length of arc so I’m going to press number three here on the calculator you can see it’s a integral with r prime t that’s the derivative, first derivative of t r t over the area of a, or the range of a and b dt and here’s the formula Length is going to be equal to this here’s the formula for it and the position vector is r t and the i coordinate the j coordinate the k coordinate and we start eight i minus three j and seventeen k keep going we have eight t and the derivative of eight t is eight derivative of minus three t is minus three and derivative of seven t is seven so you have eight squared minus three squared seven squared dt and over the time they want the range so we’re going to go alpha maybe two to the range of alpha nine shows the range over two over nine here’s the formula again put this all on your paper exactly as I show ahh the derivative of eight t is eight and the, ahh that squared is sixty four and here’s nine here’s forty nine there four sixty four, nine, forty nine and that computes out to the square root of one twenty two and one twenty two is square root of course is to the exponent one half and over nine and two area, area so substitute two for t two times this and nine times that and we have that we come up with approximately seventy seven point three the exact is seven time the square roof of one twenty two units two minus the nine that’s how you get that you always take the maximum range and subtract the minimum range from it and here’s seventy seven three eight pretty neat huh go back and do anything you want here velocity, what ever there will be another videos on those ahh everystepcalculus.com. Enjoy my programs you’ll love them.

Filed Under: Arc Length

Integration U Substitution on the TI 89 | Every Step Calculus Video

October 15, 2013 by Tommy Leave a Comment

Raw Transcript

Okay this is a video on u substitution. A little more difficult problem you find in calculus 2 and let’s get started. Here after you buy my program and installed in your calculator, you have to press second alpha to put the I n d e x in here the letters and for push alpha and put the 9 in the open close parentheses. for calculus 2, it’s a 9 there. For calculus 1 its an 8. To get my menu press Enter and all these different options to go you can go up ok we need closer to u so there all alphabetical so I’m going to go up here Notice we have work lifting object, work lifting springs, work putting a shuttle in space, work pumping oil, velocity, vectors, It’s all calculus of course but I do sell physics programs also. everystepphysics.com. We’re gonna press u substitution here. Get into our u substitution program. And we’re going to press alpha before we enter anything in the entry lines in my programs. So we’re gonna push alpha X plus 3 divided by quantity X squared plus 6 times x minus 5 to to the second power. We check our formula to see if we put it in righ. and you have a chance to change if you want. I say it’s okay so press okay and we’re going to evaluate this function integrated. We always rewrite it You put X plus 3, you notice the x plus 3 in the numerator here over the, by the DX because this derivative of what’s inside the parentheses must equal x plus 3 what we just rewrote it over there. And so I checked in my programs if it doesn’t and all hell can break loose. But I say it I see it that equals. We’re into the u of course u to the minus 2 and that’s what in the parentheses because we brought it form the denominator to the numerator. I don’t need to teach, this stuff is for passing tests and doing your homework quickly and not learning it but anyways you you are u integrals. Notice that DU divided by two has to come out. Any time you have a constant fraction or pie or anything, a decimal has to come outside the integrals. So that’s the first thing you do. Put in on here nice and clear with the parentheses. And then you do the integration of -2 which you’re gonna a 1 there, right. So you divide by that same exponent that you found. Here’s the answer. And you substitute back in the what’s in the parentheses at the beginning plus c. Pretty neat, huh? everystepcalculus.com. Go to my site and buy my programs and pass calculus.

Filed Under: U Substitution Tagged With: Integration by Parts, natural log, Transcendental Function

Integration by U Substitution on TI-89 | Every Step Calculus Video

October 15, 2013 by Tommy Leave a Comment

Raw Transcript

This is a video solving a u substitution problem step by step and also demonstrating how my downloadable programs work in your TI-89 Titanium calculator and other TI calculators, for calculus and physics problems. Let’s get started you have to press second alpha to put the i n d e x letters in there and then you have to press alpha to put the eight and the open and closed parenthesis press enter you’re into my menu here’s the menu I happen to be at the bottom right now but it’s all alphabetical we’re doing u substitution click on that you have to press alpha before you put anything into my entry lines here so were going to add the function. I go two times the quantity two times x plus one to the fourth power I always show you what you’ve entered. So you can change it if you want I say it’s ok and because we have a constant here we need to put it outside the integral so we put it outside and then we find u u is two x plus one which is inside the parenthesis derivative is two then you always take the two if there is a constant in this part take it and move it over here du divided by two dx equals dx and then you have u four equals two x minus one to the four or two x plus one to the power four and then we do our integral here here’s the two on the outside and the integral u four du over two divided by two and we have to multiply that times this, etc. Here’s your answer. Pretty neat huh? everystepcalculus.com. Go to my site buy my programs and pass calculus.

Filed Under: U Substitution Tagged With: Integration

Integration by parts lnx on the TI 89 | Every Step Calculus Video

October 15, 2013 by Tommy Leave a Comment

Raw Transcript

This is a video from everystepcalculus.com solving a calculus problem step by step and also demonstrating how my downloadable programs work in your TI 89 Titanium calculator and other TI calculators for calculus and physics problems. Let’s get started you have to press second alpha to put the letters i n d e x in here
and then you press alpha again to put the open and closed parenthesis press enter and you are into my menu many things to choose from in this menu so you can pass your calculus classes but we’re going to do integration by parts right now and course integration by parts is when you are doing integration by transcendentals like these four here log, e of x sign of x cosign of x we’re going to do log of x natural log click on that. I give you some sort of example of what it should look like to put it into my entry lines here but you have to press alpha before you enter anything into these entry lines in my programs press alpha three times x squared times log of three times x i always show you what you’ve entered so you can change it if you want I say it’s ok and first thing course you choose what you’re going to have for d v. I do that for you and then v is equal to the integral of that and the integral is x cubed and u is log of three x and du because of the log special log rules is one over x and you write all this down on your paper here is exactly what it is I’m demonstrating my programs not so much how to do the problem but uh because I want you to pass your test rather than learn this stuff memorize it and here’s the answer here so if you mark that all on your test and you’ve got that problem in your test or similar problem you’d get a hundred percent on that problem much more points than the guy sitting next to you or the gal sitting next to you everystepcalculus.com go to my site, buy my programs and pass calculus.

Filed Under: Integration by Parts Tagged With: Integration by parts lnx

Integration by parts formula | 2x*cos(3x) Step by Step Video on TI-89

October 15, 2013 by Tommy Leave a Comment

 

Integration by Parts on the TI-89: 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-89 systems for calculus and physics problems
okay
integration by parts
with regard to cosine, anytime you’re trying to integrate something and it
becomes cosine or sin
or natural log
e to the x your into integration by parts
so remember that let’s get started
You have to press second alpha to put the letters i_n_d_e_x in here then you have to
press alpha to put the 8 in and open and closed parenthesis to press enter and your
into
my
menu It’s all alphabetical were going to scroll down here to integration by parts
you want to do cosine, so we’re gonna
scroll down to.. we could press the number four here and let’s do that because the
number four and it automatically goes to cosine
integration by parts
And we’re into the program, you have to press alpha before you
put anything into these entry lines here in my programs, we’re going to press
Alpha
and put the function in here, we’re going to put uh…
the alpha 2 times
x
times
2nd cosine
of 3 times x
goes off the parentheses press enter
I always show you what you’ve entered so in case you made a mistake you can change
it
I say it’s okay I’m going to press number one here
And you notice a dv is uh… the
function that we’re going to integrate
and i show you how to do that
You just write all this down on your paper exactly like to see it
don’t even think about it
and u is 2x and du
is 2
dx
and here’s the formula here v times u minus the integral of v times d
u dx
and you place that all in here, that’s what we’re doing here
pressing the enter button to go to the next screen, write that down you can look at it
and study it.. it’s all accurate
and here’s the answer
2x sin 3x divided by 3 plus one ninth cosine of three
x plus c
pretty neat huh Every Step Calculus dot com got on my site
Buy my programs and Pass Calculus

Filed Under: Integration by Parts Tagged With: 2x*cos(3x), Integration by Parts Formula

Integration by parts examples | xcosx Steps on TI-89

October 14, 2013 by Tommy Leave a Comment

Raw Transcript

This is a video demonstrating how my downloadable programs work in your TI 89 Titanium Calculator and other t i calculators for Calculus and physics problems. Let’s get started here you have a second alpha to you press second alpha to put the i n d e x letters in here the press alpha to put the eight and open and closed parenthesis and you press enter and you’re into my menu. I’m already at integration by parts but you can scroll up to whatever you want you notice the number of choices that go way above the screen
and way below for you to pass your calculus maybe do your homework we’re going to go integration by parts and you want to go cosine and you have to push alpha to put any thing in the entry lines here press that remember to do that and we’re going to put the function in here x squared times the cosine of three times x I always show you what you’ve entered so you can change it if you want say it’s ok and you start you find first the d v and that’s the most difficult thing to integrate so we put that here ahh and then you’re finding v which is the integral of cosine of three x ect. you write all of this down exactly as you see it on your paper and then we do the formula here’s the formula and we add the ahh they require here’s the v which is here and u which is here x squared and here’s v again and then the derivative du which is two x and you just keep marking things down takes two integrations and so we do it again keep writing all of this down on your paper and here’s the answer here you combine all of it right here. Pretty neat, huh? everystepcalculus.com. Go to my site buy my programs and pass calculus.

Filed Under: Integration by Parts Tagged With: xcosx

Integration By Parts Examples Cos TI-89 | Every Step Calculus Video

October 14, 2013 by Tommy Leave a Comment

Filed Under: Integration by Parts Tagged With: Integration by Part Examples

Integration by Parts x^2 cosx on TI-89 | Every Step Calculus Video

October 14, 2013 by Tommy Leave a Comment

Filed Under: Integration by Parts

Integral lnx on TI-89 | Every Step Calculus Video

October 14, 2013 by Tommy Leave a Comment

Filed Under: Integrals

Inflection Point on TI89 Calculator | Every Step Calculus Video

October 14, 2013 by Tommy Leave a Comment

Raw Transcript

This Video is on Inflection Point. To get to my menu You have to press second alpha on the Titanium to enter letters in the home screen, and then you enter the letters i n d e x press alpha again and enter the eight and the closed parentheses. Press ENTER and you’re into my menu. You choose inflection point by scrolling down to it. It’s All in alphabetical order. And Pressing ENTER. This screen shows what’s available in graphing by hand to complete a graph or what might asked for in a given test or homework. Next, I instruct you to start a graph on your paper. And then ask for the function given. You have to press ALPHA first to enter variables in my programs on the Titanium. So let’s enter x cubed minus three times x squared, And Press ENTER. I show you always what you’ve entered so you can change it if you want. I say it’s ok. We’ll Press 6 for inflection point. You have to compute the second derivative, so write all you see down under your graph. You factor the second derivative and set it equal to zero. Solve for the value of x or exes. And plug that value back into the original function to get the y coordinate. And the answer is minus two You mark your x y inflection point value on your graph, this is where the concavity changes direction.  Pretty neat huh? Everystepcalculus.com. Enjoy my programs and pass calculus.

Filed Under: Inflection Point

Finding Critical Points on TI-89 | Every Step Calculus Video

October 14, 2013 by Tommy Leave a Comment

Critical Points Solved on TI-89 Calculator.

Full Video Transcript

This is a calculus calculator program or app for critical points relating to graphing by hand and using the TI 89 titanium calculator.

To get to my main menu press 2nd alpha to enter the letters ind e x and then press alpha again to enter the eight and the open and closed parenthesis. Press enter and you’re into my menu. You have many choices in this menu, you see concavity cosine of a times x. Here’s critical points cross product, curl, definite integrals, definition of a derivative, just difference quotient.

Well, we’re gonna do critical points right now which is involved with graphing by hand a function.  I tell you to start a graph on your paper such as this and we’re going to enter the function you have to. Press alpha before you enter any of variables in this calculus calculator program.

And let’s see what are we going to enter here, thirty-two times x squared minus X to the fourth power. I show you what you’ve entered, you can change it if you want, and then here’s the menu of what you can do with graphing by hand and flexion point all the necessary things to graph that function by hand.

We want critical points, all the critical points. You write everything on your paper here for this calculus calculator program on the TI 89 and you’ll come up with the critical numbers.

Critical numbers are not critical points there on the x-axis they show you where the maximum and minimum for the original function. To get the y-value I show you for each one, critical point number, two critical point number, three.

Pretty neat huh? EveryStepCalculus.com check out my site, check out my programs and pass calculus.

Check out more critical point example video solutions

Critical Points test question #1

Critical Points Graphing test #2

 More in depth examples and solutions here:

Paul at Lamar University

Filed Under: Critical Points Tagged With: Finding Critical Points

Derivatives Calculus e^(x) on TI 89 | Every Step Calculus Video

October 14, 2013 by Tommy Leave a Comment

Raw Transcript

This is a pre calculus help video on derivatives calculus, actually a derivatives calculus program app for the ti 89 titanium calculator. To get to my main menu. You press 2nd alpha to enter the letters I n d e x and then press alpha again to enter the eight and the open, and closed parenthesis. Press ENTER and you’re into my menu. You scroll to where your choice is, right now you want to know how to do derivatives calculus. So we’re going to scroll to e to the x derivatives calculus in my menu. Press ENTER and we’re going to enter our function. You have to Press alpha before entering any variables in my programs we’re going to enter this example up here six times x squared. I show you what you’ve entered you can change it if you want. I say it’s ok. Press enter and you write everything on your paper to get the step by step calculations of derivatives calculus. I show you the formula, you have u here, d u equals the derivative twelve x format of putting it in, is like this, you substitute six x squared for u and the answer is twelve x time e to the six x squared now this d u, you multiply it times anything in front of the e to the x in case you enter it that way or have that problem. Pretty neat huh? Everystepcalculus.com. Go to my site, enjoy my programs, and pass calculus.

Filed Under: Derivatives

Derivative Product Rule on TI-89 | Every Step Calculus Video

October 14, 2013 by Tommy Leave a Comment

Raw Transcript

I’m going to do a video on a product rule with ya know pretty hard one variable function to get started we’ll press second alpha to put the i n d e x in here in my menu and then we’ll press alpha and get put in the eight and the open and closed parenthesis press enter and you are into the menu. I’m at the product rule here’ but you can see number of many many things in calculus that will help you pass calculus and learning calculus if you want to go that far we’re going to do product rule right now. I show you the formula taking f prime of f of x function times g of x and then f of x time g prime of x and we’ll enter our function you have to press alpha before you put anything in my entry lines here we’re going to put it in this form here parenthesis with a times sign in between. So we press alpha put the left parentheses in and put three times x minus two close off the parentheses put the times sign and let’s go five times x cubed minus x squared plus one now you notice that anytime you have you see a any function in a test or on homework where you have two functions multiplied together you use the product rule if there was a division sign here you’d be using the quotient rule ah be hip to that and i always show you what you’ve entered so you can change it if you’ve made a mistake but that’s what we want and I show you where f what f of x is your choice for that is and of course the choice for g of x and we work the formula and here’s the answer here all of these are added together and here’s your answer pretty neat huh? all my programs are step by step like this show you exactly how to do it so wouldn’t take you long to learn it if if you knew it like this. Go to my site buy my programs and pass calculus.

Filed Under: Product Rule

Derivative of xlnx | ln(3*x^2) on TI-89 | Every Step Calculus Video

October 14, 2013 by Tommy Leave a Comment

Raw Transcript

This is a video from everystepcalculus.com demonstrating how my programs work on the TI 89 titanium calculator and other calculators in the TI system for calculus and physics problems. Okay derivative of natural log. Let’s get started to get to my menu at the press alpha and to put the letters i n d e x here in the main entry line of the calculator. and press alpha to put the eight me open close parentheses press enter in your menu we want a scroll down to natural logarithm and i want to differentiate yet the press alpha before you enter anything into these in these entry lines in programs. Don’t forget that. And we’re going to alpha log of three times x squared. We show you what you’ve entered, you can change it if you made a mistake. I say it’s okay. And here’s the calculation log of 3x squared. The formula is U prime over U. U being what’s inside the parentheses here. And then the derivative of that is 6x and when you put U prime over U. It equates out to 2 over x. Pretty neat, huh? everystepcalculus.com. Go to my site, buy my programs and pass calculus.

Filed Under: Derivatives Tagged With: Derivative of xlnx, ln(3*x^2)

Derivative of sin2x | TI-89 Calculator | Every Step Calculus Video

October 14, 2013 by Tommy Leave a Comment

Raw Transcript

This is a TI-89 step-by-step program app for the derivative of sin2x or some function within the parentheses
to get to my main menu you press second alpha to enter the letters i_n_d_e_x and then press alpha again to enter the 8 and the open and closed parentheses press enter and your into my menu you scroll to where your choice is in this calculus calculator program app i’m demonstrating how to solve step-by-step the derivative of sin2x you can see the choices here of on some my menu many many things projecting A on B quadratic formula, quotient rule relative extrema, that’s graphing by hand but we’re going to do the derivative of sin2x here so we go down to sine of A to the X derivative and press enter you can do cosine or sine we’re going to enter the function you have to press alpha before you enter anything in my programs and so we’re gonna do sine of five times x press enter. I show you what you’ve entered corrected if you want to say it’s okay. I give you the chain rule formula you write this stuff all in your paper to get the step-by-step calculations U equals five x etcetera derivative of f of u sine of x cosine of u and so you have your answer here five times cosine of five x pretty neat huh? EveryStepCalculus.com pass calculus and enjoy my programs.

Filed Under: Derivatives Tagged With: sin2x

Derivative of Natural Log on the TI89 | Every Step Calculus Video

October 14, 2013 by Tommy Leave a Comment

Raw Transcript

This is a video from everystepcalculus.com. Demonstrating how my program work on a ti 89 titanium calculator and other calculators in the ti system for physics and calculus problems now I’m going to demonstrate log problems ah with regard to my programs to enter the code to get into my menu you have to press second alpha and put i n d e x in here and then press alpha and the put the eight and the open and closed parenthesis press enter and you’re into my menu this is all alphabetical in my menu you scroll down to log problems in the l section there it is there and you have all these different things you can do with log problems right now I’m going to differentiate so I’m going to press number six you can scroll down or use the number here in the front I’m going to press number six give you the option of doing log to the base some other base or the natural log I’m going to do natural log first here and were going to enter our function you have to press alpha before you enter anything into the entry lines of my programs here your going to press alpha and then were gonna press second to enter the log function you have to add the ln there and let’s do it. six times x squared plus nine. I always show you it factored it here calculator did that automatically I always show you what you’ve entered so you can change it if you want I say it’s ok. And y is equal to log of some function in here f of x and here’s the function and the formula is y prime is equal to f prime of x divided by the function itself I show you the function. I show you the derivative of it taken the derivative and dividing it by the answer and ahh, the original function and her’s the answer four x divided by two x squared plus three. Pretty neat huh, everystepcalculus.com. Go to my site buy my programs and pass calculus.

Filed Under: Natural Log

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Tom-     Got it to work with that link you sent me!  Just wanted to say thanks for all the great work you do, and for helping me pass this calculus class.  I'm going to tell everyone about this and make them pay the $30 dollars because you have done a splendid job programming my friend.  Let me know if you have any new programs for derivatives or integrals and Ill let you know if I need any more help!  Much thanks,                -Eric

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 Tommy,     Great talking with you last night. I already liked you for developing this “most excellent program” but after our conversation I concluded you to be a great guy. I’ve been playing with this program most of the night, took in a few “z’s” and am back for more. This program really is superb. I did, however, notice that for some unknown reason when I attempt to do Relative Extrema’s and Trajectories that both programs came up as “Program not Found”. I’m not sure if I will be encountering the Trajectory stuff in this semester of Calculus but I do have a test this Thursday that includes Relative Extrema. Any suggestion, oh Master of this great creation?! I’m going to be gone most the day but should be home late afternoon if you got time to call. Same number (843-xxx-xxxx). That’s Myrtle Beach, 3 hours ahead of you and more golf courses than you can shake a stick at. Thanks    -Joe

Wow! Awesome! These are great, so great, thank you!            -Kristen

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