This video is on natural log and the derivatives of that, or integrals depend on the choice, these are my fabulous programs that I’ve programmed under the titanium calculator that you can download from my website and do all these like you were an expert. I’m going to clear the entry line here by pressing clear and then I’m going to clear the screen by pressing F1 and 8, we need to enter index 8 in the home screen and I’m going to show you how to do that. Press second alpha, highlights that you are in the numbers or letter “1index* and then alpha 8 and close parenthesis which tell the calculator it’s a program and out comes my menu. You can see how many things are to do, you can scroll down this or whatever…area of a parallelogram, there is he chain rule, there cross product, all kinds of complicated stuff that you can do easily on this one, definite integral that’s always fun, it’s all alphabetical and then I give you a sheet if you buy the programs where you can see it on an 8 by 10 an outline of everything that’s on the calculator so it’s really easy to learn quickly and go to them. Anyway what are we doing? Oh we’re doing the natural log, there’s a natural log, in another video I did log to base A, they call it base a. So we are going to do the natural log right now and differentiate rather than integrate so I want to do those kind of problems and that’s what we’re into. I gave you the choice when you look at this menu because it’s one of the difficult things in calculus, certain for me was how to choose which problem to do but what function is necessary to do the problem; is it a chain rule problem, is it a product rule, is a quotient rule, is it U-substitution, what is it? Well and you pick out your problem and your test or homework and you say “oh gee, it look kind of like this number 3 here” you know that could be log of 5X cubed plus 6 or whatever in here and if it looks similar to that, we can press the number before that which I’ll do now and it tells you to that’s it’s U-substitution and now we are going to enter the function, so we’re going to press second and then log, here is the natural log function there, we are to press alpha and then we are going to enter our 5xX cubed plus 6 and so we are going to close the small screen so we’ll have to check it you know but it gives you the option of changing it if you did something wrong so you don’t worry about that, for instance I say it ok so we’re going to go on with it and you can see that here is the original function used in the inside your 5xX36 and U prime is which is the derivative of 15X squared. You

write this stuff on your paper to get 100% on this problem. Notice the U-substitution is U prime over U. so here is the U prime and here is the U and dividing it by the other heres 15 x squared plus that. Pretty neat huh. Ok everystepcalculus.com, check it out

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