Derivative of lnx | Natural Log on TI-89 | Every Step Calculus Video
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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 an example of finding the derivative of natural log in my calculus programs and 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 closed parenthesis and press enter and you’re into my menu you’ll scroll down to log of x derivatives and you want to differentiate it so you choose that you can integrate it or solve for x also and we’re going to enter a function here you have to press alpha before you enter anything into my entry lines here So we press alpha. I’m going to press second and then log and let’s put in ah six times x squared plus seven. 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 we’re finding the derivative
of log of six x squared plus seven the formula is u prime over u u being what’s inside the parenthesis here
here is u here six x squared plus seven the derivative the derivative of that excuse me is twelve x and u prime over u so here’s the answer twelve x divided by six x squared plus seven ahh pretty easy if you know the formula and, but my programs show it step by step easily like this. Pretty neat, huh? EveryStepCalculus.com
go to my site buy my programs and pass calculus.
Derivative of lnx | ln(cos(5x)) on TI-89 | Every Step Calculus Video
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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 calculus and physics problems ok the derivative of log of x and let’s get started to enter my menu you have to push second alpha and then put i n d e x in here and then press alpha to put the eight and the open closed parenthesis and press enter and you’re into my menu. I’ve already scrolled down to log of x it’s all alphabetical. I’m going to press enter you want to differentiate it and we’re going to enter you have to press alpha before you enter anything in these entry lines of my programs. So I’m going to press alpha I’m gonna put log and we wanna put this time cosine of five times x close off the parenthesis twice there. 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 notice here’s the formula u prime over u u is what’s ever inside the parenthesis of the log natural log and so we have the cosine of five x the derivative of cosine of five x is minus five sine of five x and then u prime over u which turns out to be sine over cosine which is really tangent so the answer is minus five times tangent of five x pretty neat huh
everystepcalculus.com. Go to my site buy my programs and pass calculus.
Derivative of lnx on TI-89 | Every Step Calculus Video
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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 calculus and physics problems ok derivative of log of x and let’s get started to get to my menu you have to press second alpha to put in i n d e x in here the letters and then press alpha to put the eight and the open closed parenthesis. Press enter and you’re into my menu I’ve already scrolled down to log of x natural log of x these are all alphabetical and we’re going to press enter and we’re going to differentiate log of x ahh you have to press alpha before you push put anything into these entry lines of my programs. So you have to remember that and this is a tricky ahh supposedly simple problem that I’ve seen on tests so. Let’s do it. I’m going to press alpha. I’m going to press second to get to the log and then the’ve got second again to put the log in there and then we’re going to put five times x and double parenthesis of course I always show you what I’ve entered what you’ve entered so you can change it if you want. I say it’s ok you’ll notice the formula you prime of u u is always in the parenthesis here in this case log of five x and u prime is one over x and so your answer is one divided by x times log of five time x. Pretty neat, huh? EveryStepCalculus.com, go to my programs buy my programs and enjoy passing calculus.
Derivative of lnx Video | ln(x^4) Step by Step on TI-89
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Derivative Definition Video | TI-89 | Every Step Calculus
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Average Rate of Change Calculus Video | Step by Step on the TI-89
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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.
Arc Length Calculus Video | y=sin(x) | Simpson’s Rule on the TI89
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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 so we’re going to do the arc length with regards to sine or cosine and ahh first of all I’m gonna do on the calculator and show you on the calculator how this works you can do arc length here you’ll notice that when you press f three function you come up with that menu you press eight and it’ll go to arc length we’re going to put in sin of x for our function and then a comma with regard to x and then a comma with regard to the ah range of zero and pi you notice it’s busy here that means it’s thinking and the takes a while hard for the calculator to do evidently and here’s the answer three point eight two units so now let’s uhm get started on my programs your going to have to put second alpha to put the letters i n d e x in here. Then press alpha again to put nine and the open and closed parenthesispress enter and we’re into my menu we’re gonna do six which is arc length of a function of f of x which which is this which sine is and we’re gonna enter the function gonna press alpha you have to push alpha before you do anything in the entry lines here enter anything in there so alplha we’re gonna put sine of x I always ask you if it’s ok ahh case you made a mistake and so here’s the arc length formula you’ll notice you’re doing the derivative squared here and the regular function is the original function is sin of x we’re gonna enter our range here over the range of alpha zero and alpha pi I again ask you if it’s ok and then we do the derivative you write this stuff all on your paper as you see itand here’s the derivative of sine of x squared over that range here’s the simpson’s rule which you have to write on your paper I don’t think this problem would ever be on a test it’s too difficult might bemight be in your homework here’s the reality of this of that formula this took me two days to figure this out probably took simpson two years without calcuators and we’re gonna do six intervals let’s take six intervals of that change of x is equal to b minus a divided by the number of itinerations that equals point five two four and that divided by three which is simpson’s rule is point one seventy five this is the change of x and you do each one of these individually it starts with zero etcetera you keep adding this in your paper and the answer is three point eight units as you sum up all these. Pretty neat huh? everystepcalculus.com. Go to my site buy my progams and pass calculus.
Antiderivative Calculator | Sin 2x Video
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This is an antiderivative calculator program or app for transcendentals such as integrating sin of x problems to get to my menu you press second alpha and 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 main menu you scroll down to your choice you can see here there is quadratic equation, quotient rule, relative extrema for graphing by hand speed, trig and a half angles, trig and d/dx, i_d_’s and integrals for trig functions uh… unit tangent vector etc. so you scroll to, in this case you do not want to do sign of uh… x integration or anti derivative and we’ll enter the function here you have to press alpha before you enter anything in my programs any variables uh… let’s do this only takes one integration but it will do to integrations three times x times sin of five times x I show you what your entered you can change it if you want I say it’s okay and were in to the problem uh… you write everything on your paper exactly just see it here you’ll get an A on this problem, that’s for sure. Here’s the formula. And press enter for each screen. And here’s the answer right here. Pretty neat huh? EveryStepCalculus.com. Enjoy my programs pass calculus
Implicit Differentiation Video on the TI89 Calculator
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This is a video from everystepcalculus.com demonstrating how my programs work and I TI 89 titanium calculator and other calculators and a TI system for calculus and physics problems okay implicit differentiation my programs work on that and let’s get started yep for a second offer to put the letters i ndex in here and you have for itself but it but the a you can close parentheses press Enter into my menu I’m already at implicit differentiation you can screw whatever you want here press Enter and we’re gonna enter function you have to Press alpha before you enter anything in these and felines here’s member that alpha and let’s go 5 time X by minus 3 X squared why bus for six. I always show you what you’ve entered you can change it if you want notice that this is people’s six let it take to get a problem where there’s the this for a while the on this side will be here well you need to transpose it over to the other side so this would be a minus 4 y-o-u 6 -4 why so make sure you just have a zero or the constant right side 280 trickier s. I say it’s okay to press one here and you gonna take DD except every term and that function which I’m doing here show you write this on your paper right here ever gonna take the first term and you notice that is going to be the product because you’re multiplying functions times why X years so now I show you the steps for the product rule but you can go quickly if you practice and greatly answer which is this answer here and it separates the way TX terms into ones spot for the ordinary terms and the next term is another product rules so show you write that down to be interested here’s the answer and the you idea except for it four times why equals this you a geek and you a txt 660 said make it zero on the right side and of course the period accustomed 0 so we’ve grouped all the ordinary terms and that the way the xterm and equals zero you gonna transpose this now over to the right side because here change the signs the course does that automatically years the answer the way DX equals this and this let’s do it at a let’s evaluate a point as always fun. Press alpha to pointed to alpha now I value it at this point here again I show you you made a mistake and you’re gonna like these numbers and this is for the X’s in the y values rate here all entered in the year as the calculation 63 over to in a corset handed -1 30 arcane 31-point by is here’s the actual degrees ovett with you meet the this is rise over run maybe go up 63 points on the Y axes and over to the right and the xx’s draw a line from there down through the origin and that graph you you found the slope that my SAT point2 agrees. Pretty neat. everystepcalculus.com. Go to my site by my programs and pass calculus.
Partial Fractions Decomposition Video
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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
okay partial fractions. Uh, to get started on my programs you have to press 2nd Alpha to put in i_n_d_e_x in here then press. Alpha to put the 9 in open and close parentheses press enter and your into my menu. I’m already at partial fractions you see there’s a menu here, all alphabetical that
you can scroll down to up to we want partial fractions right now you have to press Alpha before you put in anything into these entry lines here remember to press Alpha and put in the function 1 divided by the quantity x squared plus 2 times x, I’ve already showed you what you’ve entered so you can change it if you want. I say it’s okay first of all we factor the denominator it’s already factored here and we choose our A&B and b would be x and x plus 2, equals 1 and then we multiply by the common denominator which I showed you in the previews one you get x, or a times x plus 2 plus b times x trying to eliminate one parameters one variable a in this case so we multiply by a -2 or I mean add by a -2 we’ll get a zero so we choose that one and then we figure out what b is, and then we can use that to figure out what a is and here’s a and your three halves, here’s your partial thing for your answer for your calculus test pretty neat huh? EveryStepCalculus.com goto my site buy my programs and pass calculus.
Quadratic Formula Problems Video
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This is a video from everystepcalculus.com. Demonstrating how my programs work on a ti89 titanium calculator and other calculators in the TI system for physics and calculus problems I’m going to show you how my programs tackle quadratic formula problems. Let’s get started you have to press second alpha to put i n d e x in here you have to press alpha to put the eight and the open closed parentheses press enter and you are into my menu ahh it’s all alphabetical this menu and all of these choices will help you pass calculus. I’m going to go up with the cursor to get down to the bottom to get to the q section and here’s the quadratic formula and we’re going to do some quadratic formula problems here. I always give you a definition of a problem if I can to help you a little bit about your knowledge of the problem you write this formula down on your paper right away and then we enter the variables you have to press alpha to enter anything into the entry lines of my program entry lines. I’m going to enter alpha minus nine for a going to alpha eight point three for b going to go alpha seven. I always show you what you’ve entered so you can change it in case you’ve made a mistake I say it’s ok. I’m going to do the step by step version on this one and show you how it does everything it adds the variables here and then it would just like you’d have to do the calculations as you go each screen you mark down the calculations just as you see them and here’s the exact answer and here’s the approximate exact and approximate of that answer pretty neat huh. everystepcalculus.com go to my site buy my programs and pass calculus.
Quadratic Formula Worksheet-Video
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This is a video from everystepcalculus.com. Demonstrating how my programs work on a TI89 Titanium calculator and other calculators in the TI system for physics and calculus problems ok this video we’re going to us my programs like a quadratic formula worksheet and let’s get started to you have to press second alpha to put the i n d e x in here and then press alpha to put the eight and the open and closed parentheses and then press enter and you are into my menu I’m already at the quadratic formula here but you can see the choices ahh all up and down ahh with the cursor to pass calculus and do your homework so were going to go down to the quadratic formula to make it work like a quadratic formula worksheet and I give you the definition of the quadratic formula you always write this formula down first on your test or homework and were going to enter the variables you have to press alpha before you enter anything into these entry lines of my programs we’re going to go alpha minus six sixteen and then were going to due alpha maybe eight and then were going to do maybe minus six ahh I always show you what you’ve entered so you can change it in case you made a mistake. I’m going to say it’s ok here now this told me that the variables are wrong because it makes the negative under the discriminate so it becomes a non real answer so we have to change the variables so let’s go alpha minus sixteen alpha eight and alpha nine and we’re going to do the quick answer here shows you where you put the variables into that formula you marked down in your paper the variables in there and here’s the answer here’s the exact answer here’s the approximate answer exact and approximate. Pretty neat huh. EveryStepCalculus.com. Go to my site buy my programs or apps and pass calculus.
Derive Quadratic Formula | TI89 Calculator App | EveryStepCalculus.com
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Quadratic Formula Proof Video
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This is a video from everystepcalculus.com demonstrating how my programs work on a TI89 Titanium Calculator and other calculators in the TI system for physics and calculus problems. I’m going to show how my programs do a quadratic formula proof and let’s get started you have to press second alpha to put the i n d e x in here you press alpha to put the eight and the open and closed parentheses press enter and you’re into my menu you have many choices here so you can pass calculus and do your homework we’re going to scroll down to the q section here and see if we can’t find quadratic formula do the calculations on a quadratic formula proof I give you always a little definition of it so you know what you’re talking about with the quadratic formula and why you write this formula down on your paper or homework right away and you enter your variables you have to press alpha before you enter anything into my entry lines of my programs remember that so we’re going to do alpha minus six alpha minus five and alpha nine. I always show you what you’ve entered in case you made a mistake and we’re going to do the quick answer here well on the proof will do the full answer ah you enter the variables and write this on your paper here they’re entered into the formula and then you do the calculations just like you would if you were doing the calculations yourself write everything down you see go through each screen and you got the exact answer here the approximate answer exact answer and approximate answer for x pretty neat huh. EveryStepCalculus.com go to my site buy my programs and pass calculus.
Quadratic Formula Video | TI89 Calculator App | EveryStepCalculus.com
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Integration by Parts Video | Integral of x^2*cos(3x)
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Integral of (x^2+1) cos(3x) | Integration by Parts Video TI89 Program
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Integral of x cos(3x) | Integration by Parts Video | TI89 Calculator
Other Integration Examples on the TI-89 Calculator:
Integral of x^2*cos(3x)
Integral of (x^2+1) cos(3x)
Integral of x*cos(3x)
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Parametric Equations Video
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This video is on parametric equations. A parametric equation is, you’re adding a parameter of t time to every x y and z function, and that’s where we add the parameter and that’s the reason we call them parametric equations. And let’s do it. Turn the calculator on here. We’re going to get back to the home screen here. Clear the calculator we can go F1 eight and it clears that screen here. You press second alpha and put in the letters i n d e x, and then you push alpha and get into the number 8 and closed parenthesis to add this and get my formula for my menu. Press enter and we’re into my menu. And you can see all the things available in my menu for you to pass calculus and do your homework. Position vectors, product rule, projection of a and b, all those kinds of things you will be involved with in calculus one two or three. We’re going to do parametric equations now. That’s concerned with position vectors. If z is not given you enter zero in for z, then you can do the other two, x and y. So there’s the vector r t is generally an r t, is equal to this vector here, x t, y t and z t. So you have to press alpha to enter the functions in the entry lines here, so let’s do it, three times t let’s say plus four for x t, here’s y t, let’s enter have to push alpha, five times t and let’s do the z one, or let’s put alpha just for to make it simple and put z you can see that the z one is zero. Gives you a chance to change it if you’ve made a mistake, and we have all these things that we can do with this formula now with these functions in there. We can eliminate the parameter. Which eliminates the t and changes it back to an x function. Let’s do that quick, I’ll go through these quick so you can see. You solve for t, here’s the solution for t, and then you substitute t into every other x y and z, but ah here’s one point six seven times x minus three point nine and that eliminated the t parameter. Let’s go length of arc, you want to do that, fine, let’s go press four, notice it’s an integral over a and b, with the derivative of the r t formula. And rt we’re going to put in what we entered, I’ll go through it quick, put this all on your paper, write it down exactly as you see it, and we’re doing the square of each one, over the time of let’s say, you have to push alpha, let’s say from two to alpha six, shows you from two to six, here we’re doing this, write this on your paper and each individual one is gone, there it is, and here we substitute etcetera in there, and here we have approximately twenty three point four units. We can do speed, do you wanna do speed, let’s push number seven here and do speed, unit vectors or speed is the square root of these squared. Square root of nine, twenty five zero. 5.8 meters per second. Ah pretty neat huh? Everystepcalculus.com, check it out. Go to my site and you’ll love these programs.
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