I’ve watched like 20 videos on this because I was so confused and this was by far the most clear. Thank you for breaking it down step by step it helped so much!
My professor doesn't explain what he is doing and literally just says "This is a two, then we have a 6, then we put it over here." Its so frustrating, so thank you. This really helped me.
Das ist das beste Video über dieses Thema. Liebe dich einface! Weißte, im Januar 2024 schreibe ich ne wichtige Prüfung und das hilft mir sicher. Du verdient millionen Anhänger:innen 😍😍
I know this video is 5 years old but this actually helped so much... the order/process that my calc teacher does with these chain rule functions is whack and super confusing... the way this video shows it is so simple so thank you
Thank you so much for doing this video. Our Calc teacher just presents the rules and doesn't really clarify. The step by step process makes it much clearer.
you're welcome. I made these videos awhile ago but I am thinking about making new ones. Let me know if there is a topic that would be particularly helpful.
This saved me! Thank you. I was so confused with the exponent and the way it was written and applying the chain rule, also I didn't know that the inside of sinx stayed the same like sin(2x) becomes cos(2x). I know sinx' = cosx but not not about if x was something else... Thank you
Thank you so so soo much!!!! Wish I had enough words to express how thankful I'm to u!!!! Loved the explanation !!!😊👍(ANDD YEAH , I SUBSCRIBED TOO BRO!!! 😀) Wish your channel grows bigger, u deserve it!! 👍✌
It would be 4*tan^3(5x-1)*sec^2(5x-1)*5 You do the power rule with tangent, then take the derivative of tangent (sec^2) then take the derivative of 5x-1, being 5.
If I don't take sin(x²) and instead I use (sin²x) and solve it then I get a different answer. For 1st cond. Sin(x²)= 2 sinx. cosx And 2nd cond. Sin²x = d/dx ( sin²x)= cos²(x). 2x Which one is correct. ?
Okay this was clear but what confused me is, why on the first example he directly turned sin2x into 2cos2x without leaving sin there but on the second example he kept sin as 6sin3xcos3x?
If you are finding the derivative of just sin(x) or sin(2x) then the expressions simply transform into cos(x) or cos(2x)*2. If the expression has an exponent other than 1 like in my second example, you use the power rule on the trig expression so the original will remain with a lowered exponent and its derivative will appear and chain to the end.
Hey Joel, I have a problem that asks for the derivative of y=sin^2(3x) + cos^2(3x). For some reason my professor lists the answer to that problem as y'=0. Does that make sense to you? Lol very helpful video btw!
I just realized there's an easy way to solve that sin^2(3x). You just expand the equation to sin(3x) × sin(3x) then apply the rule on particles. The d(uv)/dx rule. Then you just to add 3sin(3x)cos(3x) + 3sin(3x)cos(3x). Same answer, easier method.
Yes, definitely easier in that sense. My goal was to show the overall method and not necessarily the most efficient way to solve this particular problem. This method would certainly be the best if the exponent was negative, or rational and not 1 or 2.
I’ve watched like 20 videos on this because I was so confused and this was by far the most clear. Thank you for breaking it down step by step it helped so much!
6 years later and your video made this concept easier to understand than more recent videos. Thanks man.
Thank you for the comment. I've gotten away from making videos but that makes me want to get back at it.
It has been 8 years since this video was uploaded and you’re still saving students from failing
My professor doesn't explain what he is doing and literally just says
"This is a two, then we have a 6, then we put it over here."
Its so frustrating, so thank you. This really helped me.
Thanks! Using the chain rule multiple times was a confusing mess for me. I appreciate you taking it slow and breaking it down piece by piece.
Das ist das beste Video über dieses Thema. Liebe dich einface! Weißte, im Januar 2024 schreibe ich ne wichtige Prüfung und das hilft mir sicher. Du verdient millionen Anhänger:innen 😍😍
Thank you so much for your kind words.
I know this video is 5 years old but this actually helped so much... the order/process that my calc teacher does with these chain rule functions is whack and super confusing... the way this video shows it is so simple so thank you
I wish my calculus teacher taught calculus like you teach calculus. Thanks, Joel!
Bruh exactly im here cz of my trash calculus teacher
I found this very very helpful, I've had a quite a hard time understanding derivate rules for trig functions (especially triple ones). Thanks!
Bro u really are amazing
I want u back
Thank you. My life is different now but I am willing to help those that want it. Send me questions and I will try to answer.
Just wanted to say thank you for helping me understand the concept, thank you
Thank you so much for doing this video. Our Calc teacher just presents the rules and doesn't really clarify. The step by step process makes it much clearer.
you're welcome. I made these videos awhile ago but I am thinking about making new ones. Let me know if there is a topic that would be particularly helpful.
Thank you so much, no one had explained it this well.
he drew a perfect circle @ 5:50
FBI: you didnt see anything
He didn’t
Most of these writing apps have options to draw perfect shapes
Thank you so much, I was on the verge of tears
This saved me! Thank you. I was so confused with the exponent and the way it was written and applying the chain rule, also I didn't know that the inside of sinx stayed the same like sin(2x) becomes cos(2x). I know sinx' = cosx but not not about if x was something else... Thank you
Very clear explanation love it!
Thank you sir, you save my final exam.
Thank you! You made this super easy
Brilliant explanation.
That's really understandable sir .. Thank You very much🤧
Gratitude from Philippines🇵🇭
this was so helpful, you're a lifesaver.
Finally! A clear explanation. Thank you
amazing video
you're literally a saint
Thank you Doc, ndatsho ndabona I was so confused 🤍
Thank you. I was having trouble with this concept.
i wish i had a good calculus professor, such a interesting subject
Thank you for the kine explanations.
Dude you cleared out the doubt
Well done 😃😃
the only video that has helped thank you
thanks bro 🎉
Gd I needa blunt
Same cuz same
I know that the quality of this video is not that good. But I got your point 100% thank you for this explanation 👍🏻
I'm not gonna sub bc this was just helpful for this 1 homework assignment, but u definitely clarified this subject for me so thx.
Ur so extra xd
Nate SkyWalker just subscribe moron
Well done.
Good explanation bro keep it up
Thank you so much for this...it cleared up my understanding of applying the chair rule for trigonometric functions.
Truly exceptional explanation
Thank you! Very clear instruction
THANK YOU SO MUCH FOR THIS VIDEO! :))) It was very helpful
At the end you can simplify using the trig identity 2sin(theta)cos(theta)=sin(2•theta)
Good comment. Just want to add for others that it would read 6sin(6x) based on my notation. Thank you for the comment.
@@joelprestigiacomo4093 3sin(6x). Great video, thanks.
very well explained!!
Thank you sir
Great video. Well explained and so clear. Thank you!!
this was exactly what I needed. thank you smmm
Thank you so so soo much!!!!
Wish I had enough words to express how thankful I'm to u!!!! Loved the explanation !!!😊👍(ANDD YEAH , I SUBSCRIBED TOO BRO!!! 😀)
Wish your channel grows bigger, u deserve it!! 👍✌
You're welcome. Thank you for the thoughtful reply.
I was so confused about the sin² thingy but thanks now I understand
i fucking love this. i hate using them u's i just dont get it at all . this really cleared my mind goddamn. god bless you
Thanks for this amazing video..🌞
this helped me so much thank you!!
Very good method of explain
Thank you.. Great video and great explanation
A life saver
My exam : tomorrow
Time rgt now : 2 am
Watching : this video
Result : worth it 🔥🔥🔥🔥🔥
Well explained
Thank u this was very helpful
Thank you! Really helpful.
A simple question if the power was 3 would that mean that now instead of cos 3x we would have 2 sin 3x?
It would be 3sin^2(3x)*cos(3x)*3
@@joelprestigiacomo4093 oooooooh i see, so the method remains the same regardless of how high the power gets, i assume
@@Cynique_Noir correct
awesome video, thanks!
I respected those funcion so hard
So if my understanding is correct, you first deal with the functions furthest from x?
That's what I'm getting, yes.
Helped me so much!!!!
thank you very much...excellent presentation...
i still dont understand because what about those ones with the power more than 2 e.g tan^4(5x-1)
It would be 4*tan^3(5x-1)*sec^2(5x-1)*5
You do the power rule with tangent, then take the derivative of tangent (sec^2) then take the derivative of 5x-1, being 5.
If I don't take sin(x²) and instead I use (sin²x) and solve it then I get a different answer.
For 1st cond. Sin(x²)= 2 sinx. cosx
And 2nd cond. Sin²x = d/dx ( sin²x)= cos²(x). 2x
Which one is correct. ?
Both are wrong. First would be cos(x^2)*2x
Second would be 2sin(x)cos(x)
How could both be wrong? Just because i had written " . " instead " * "
i'm sorry but what am i gon do it the given is -sin²(3x)?
You'd do the same thing but where he multiplied by the power of 2 to get 2, you get -2 instead
very good . more high math levels videos
Okay this was clear but what confused me is, why on the first example he directly turned sin2x into 2cos2x without leaving sin there but on the second example he kept sin as 6sin3xcos3x?
If you are finding the derivative of just sin(x) or sin(2x) then the expressions simply transform into cos(x) or cos(2x)*2. If the expression has an exponent other than 1 like in my second example, you use the power rule on the trig expression so the original will remain with a lowered exponent and its derivative will appear and chain to the end.
Joel Prestigiacomo Thank you!! I really did not expect you to reply but really thank u for the quick reply 🙌🏼 I understand now:) ^^
@@IoniB no problem, happy to help.
Thank you sir that was informative
u daaaaaa best i just subscribed
Thanks Sir! Doubts cleared.
Are u still active ?! 🙂
I am still here to help all.
Hey Joel, I have a problem that asks for the derivative of y=sin^2(3x) + cos^2(3x). For some reason my professor lists the answer to that problem as y'=0. Does that make sense to you? Lol very helpful video btw!
Plz prove the tan2x by chain ruke
why can I understand this video but not when my teacher explains it
Well delivered
Awsome mate!
Is the secomd example chain rule
They both are.
@@joelprestigiacomo4093but in the second example there’s three derivatives when shouldn’t there be 2 when using chain rule?
@@doceydo7606 the chain rule can involve more than just 2 parts if there are multiple inside functions.
I did respected the function itself first, but did it respect my mental health at highschool...
Thank you so much!
I just realized there's an easy way to solve that sin^2(3x).
You just expand the equation to sin(3x) × sin(3x) then apply the rule on particles. The d(uv)/dx rule. Then you just to add 3sin(3x)cos(3x) + 3sin(3x)cos(3x). Same answer, easier method.
Yes, definitely easier in that sense. My goal was to show the overall method and not necessarily the most efficient way to solve this particular problem. This method would certainly be the best if the exponent was negative, or rational and not 1 or 2.
for some reason this defaulted to 2x Speed, and I was really confused why you were talking so fast
Good job!
Thank you!
If you were a woman I would marry you! I love you!
I'm flattered
+Joel Prestigiacomo hahaha
he is gay so btw gay unions are legal
really useful. but for me, you talk a little bit too slow so I used 1.75x speed for the whole thing.
Some people need more time to collect their thoughts than others. I'm glad you found the video useful!
What a video thanx for this
Create video it has just vanished my all confusions
Merci beaucoup mon frere
thanks a lot.... 👍👍👍👍
Thank you soooooooooooooooooooooooooooooooooooooooooooooooooo much
excellent, bro. thanks
Thank you
thanks.... i get it now!
Thanks fam
Thank you 😍😍
well explained
Thankyou 🤧
Thanks
The explanation was too long that makes it boring but the video was helpful.