Raw Transcript
Hello everyone. This is Tom from everystepcalculus.com.
I’m going to demonstrate the Chain Rule right now.
Let’s do it. Index eight to get to my menu for calculus.
And we’re going to
scroll down to the C section. They’re all alphabetical.
Here’s chain rule here.
And I gave you a choice of what kind
problems you’re gonna do. Sine, Cosine, Tangent, etc.
Or given Y, etc.
Here’s the, in parentheses, with an exponent.
And here’s the square root of something. I’m going to do number 2 here.
Press alpha before you
put anything in these entry lines here.
Alpha first and the left parentheses which it gives you up here for example.
And we’re going to 5 times x squared
plus 7 to the fifth power
I always show you what you entered. You can change it if you want.
We’re going to differentiate that.
I say it’s okay. Here’s the formula here for chain rule.
and I go through the steps for you. It’s kinda like U-Subsitution
in a way for differentiation. U-Subsitution is really for integrals.
So after we put the terms into the into the formula. Mark everything down in your paper you see it.
Here’s the derivative of g of x
which is 10 times X
and keep writing and here’s the answer.
Chain Rule Examples | Video | TI89 | EveryStepCalculus
Chain Rule Video Transcript
This Video is on Chain Rule Examples, the chain rule, and chain rule calculus
If you see in a given problem, a function under a radical sign, or a function enclosed
in parenthesis where that function is taken to a higher power in other words has an exponent,
or a trig function such as sin, cosine, or tangent where there is something more than
an x in the parenthesis of that trig function, you are using the chain rule.
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 parenthesis
Press ENTER and you’re into my menu
You choose “chain rule” by scrolling down to it, or pressing the number before it, in
this case the number five
You are given four things to choose from here One, a function under a radical sign
Two, Anything enclosed in parenthesis to a power
Three, If you are already given “y” and “u”
And Four, the trig functions with something more than an x involved
I’m demonstrating the first option in this video, the function under a radical sign
So press one and you’re into the program
Enter your radical function
Now, If you enter a radical function like I’m doing here, you will be told that you
must change the radical to an exponent function and bring you back to the entry line to do
it. Generally you must always do this in calculus for radicals
So change the function:
for a square root sign, the exponent is a one half , for a cube root sign it would be
one third
I show you what you’ve entered You can change it if you want
I say it’s ok
You write all of this down on your paper or homework
Here’s the formula Here’s the choice for u
And u prime
You back substitute for u
And here’s your answer
Pretty neat huh? EveryStepCalculus.com
Enjoy my programs and pass calculus
Chain Rule Calculus | Video | EveryStepCalculus
Raw Transcript
Chain Rule, If you see in a given problem, a function with a square root sign, or a function enclosed in parenthesis where that function is taken to a higher power in other words has an exponent, or a trig function such as sin, cosine, or tangent where there is something more than an x in the parenthesis of that trig function, you are using the chain rule. 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
ex press alpha again and enter the eight and the closed parenthesis. Press ENTER and you’re into my menu. You choose “chain rule” by scrolling down to it, or pressing the number before it, in this case the number six. Then press ENTER. You are given three things to choose from here. One, Anything enclosed in parenthesis to a power Two, If you are already given u and f of x And Three, the trig functions with something more than an x involved. I’m demonstrating the third option in this video, the trig function. Enter your trig function. Press alpha first, then the second button, I’m going to do tangent. Three times x squared. I show you what you’ve entered You can change it if you want I say it’s ok You write all of this down on your paper or homework Here’s the formula Here’st he choice for u Here’s what f of u And you’ll notice one over cosine u squared This is an identity for secant squared, the derivative of tan of u Identities, derivatives and integrals of trig functions can all be obtained by going to trig d d x in my main menu And the next screen is the step by step answer Pretty neat huh? Everystepcalculus.com. Enjoy my programs and pass calculus.
Chain Rule Program Step by Step
Raw Transcript
In this video I’m going to do the chain rule, I’m sure you know how my fabulous program works on the titanium calculator. We have to enter index 8 into the calculators home screen, you can do that by going second alpha, you can see second alpha highlighted here so you can put the letters in “index” and then you have to press alpha 8 to get to numbers in parenthesis and then is my menu that comes up. Menu is quite long all the way down here,all alphabetical and you can choose what you want; product rule, quotient rule, limits whatever you might need, not everything that you need but most of the stuff is on tests, I took these off of my tests and I programmed them. We got to do the chain rule so we can either scroll down to it or you can press the number in front of it, I’m going to press 5 and go to the number and we are going to put two systems U and g of x, I’m going to use the g of x system. And we have to press alpha and put in function, let’s try it 5Xx2+6 close parenthesis to the 8 power, shows you what you entered 5X squared to 6 to the 8th power, find the derivative of that, always give you a chance to change the *2:08* mistake, doesn’t look right or something, now we’re into the problem, here is the fundament for the chain rule *2:16*, you write this on your paper or homework. f[g<x>] is U over 8 and f1[g<x>] is the first derivative of x which is shown here and g(x) is the *2:36* portion 5X2+6 and the fist derivative of that is 10 to the X, and we put it together *2:46*, we have to substitute 5X2 for U, so we do that and here is *3:02* and then we can go back and do another problem or whatever. Pretty neat huh, I’ll tell you everystepcalculus.com and check it out, my website.