calculus 1 tutorial: how to use the product rule, quotient rule, and chain rule
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- Опубликовано: 12 сен 2024
- Learn the derivative product rule, quotient rule, and chain rule for your Calculus 1 class. This tutorial is for calculus beginners to learn the differentiation techniques easily. We will also do 4 examples, differentiate x^3*sin(x), sin(x)/(1+cos(x)), (sec(x))^3, and sec(x^3).
Check out my 100-derivative video for more differentiation practice. • 100 calculus derivativ...
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It's sad how much I will forget after the 6 week holiday so this video is great for remembering.
DynestiGTI glad it helps : )
@@blackpenredpen Meanwhile I'm watching this video on the 6th week of my 7 week holiday before this will be covered in some months in my Maths class.
The way you teach goes so well with the way I learn, thank you :D.
Glad to hear. Thank you!
My memory device for quotient rule:
Low-d(high) High-d(low) square the bottom and away you go
Perhaps it ought to be: "Low-d(high) MINUS High-d(low), square the bottom and away you go"?
Best calculus channel ever!
My mnemonic for the quotient rule is "don't use the quotient rule,you'll make a sign error"
If you make sign errors that often, try practicing elementary school addition and subtraction...
@@VeritasEtAequitas chilllll
@@VeritasEtAequitas try practicing in social situations so you understand a joke…
@@VeritasEtAequitasit’s not that’s it’s hard, it’s just that the sign gets lost amidst the chaos
@@VeritasEtAequitas ohh boy...internet ,math war
In the quotient rule you have to reorder the places of your f and g functions (dont put g f, is better f g), if you do that you will can multiply in cross and at the end you have just to put the results down (incuded the negative sign for the second expresion), without cross again.
Really helpful video, thank you so much! Been struggling with this for a while, I recommend this to anyone who’s been a bit confused by it. YT please get this in the algorithm!
Awesome!!!
what i meant is
your calculs videos help a lot...
like this one
I love the cooking vs ingredients part of the video
That what I needed great person explained really nicely and well
What are these rules? I can't really remember them. I only know Prada Lu, Kochen Lu and Chen Lu!
If anyone is still here, an easy rhyme for Quotient rule that helped me remember it went as follows:
“Low d high minus high d low, square the bottom and away we go!”
Someone was just being silly in class one day and spit that out, but none of us forgot how the quotient rule worked again!
So the low d high part just looks like the gf’ he did, same with high d low being fg’.
stop this is awesome tyty i will be using this
its literally official on the mathsisfun website
Thank you sir!
Thank you sensei
6:45 caught me off guard, man!
15schaa 15schaa : )
I loved this video. You helped me remember the rules. 🙏🙏🙏
Really helpful!😁
Excellent lesson
And to mix your last two examples, the chain rule can itself be chained, right? If the equation were something like
d/dx (sec^3(x^2))
It would end up being
3sec^2(x^2) * sec(x^2) tan(x^2) * 2x
= 6x sec^3(x^2) tan(x^2)
right?
What is the set of definition of y=x^(1/x) please ?
#yay from FRANCE
If you want only the continuous and differentiable portion (which is what is usually desired), domain of definition is (0, inf)
And if i want the hole domain ?
For x>0 we get real numbers, so R⁺ is part oft he domain.
Since x is in the denominator of the exponent, 0 is not part of the domain.
If the base is negative, there will only be a real result, if the exponent is a fraction with an odd denominator. For x
Thank you very much : your answer is so clever !!
That box method made me laugh so hard
like this one
thanks again
Here is my advice , when you forget these rules go back to the limits (limit of difference quotient as difference of arguments goes to zero)
Really good video
thankyou
when you make a second arrow in product rule, you have a plus :)
Can someone tell me the name of the video were the “Chen Lu” guy appears?
blackpenredpen, YAY !
Im confused 😕, how do i know when to use the power rule and when the chain rule? Why isn't the d/dx(sec^3(x))=3sec^2(x) ?
You only move the power up front if the power is on the X.
bro knows cooking 5 years ago my teacher fr props
I hope your high school friends get to know about your channel !!
Chaitanya Paranjape
They were actually my students lol
blackpenredpen Oh my bad (Tbh if you were my teacher I wud consider you as a friend) ! But I still hope the same
what is the hardest subject in mathematics
Well the riemann hypotesis derives obviously from the riemann zeta function which is studied mainly in analytic number theory, also other topics in number theory are not very easy so you could consider it a "hard subject" in maths, but i have to agree, the difficulty is subjective, for instance if you don't like a certain branch of maths you can find it particularly hard (say topology is not very loved, so that could be a good example)
String theory math
Sinar Zaito ahahaha.
İ cant find a great telling about reimann hypothesis in turkish its hard to understand in english
Great 👍👍😄
Oh, we are cooking now? Then you should change your name into blackpAnredpAn :)))
xD
? Why an?
Nvm........ I see pan... lol
blackpenredpen :))
Th at was good
Thanks!
You are doing god's work :D ♥
Smart
USE THE CHEN LU HAHAHAHAHAHA 😂
W
Looks like someone refilled the pens
#yay
Let him cook
#YAY
3 men and 1 woman highlighted...
Who is Ivette ?