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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