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!! 👍✌
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. ?
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.
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.
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.
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 found this very very helpful, I've had a quite a hard time understanding derivate rules for trig functions (especially triple ones). Thanks!
I wish my calculus teacher taught calculus like you teach calculus. Thanks, Joel!
Bruh exactly im here cz of my trash calculus teacher
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.
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, no one had explained it this well.
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, I was on the verge of tears
amazing video
That's really understandable sir .. Thank You very much🤧
Gratitude from Philippines🇵🇭
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 sir, you save my final exam.
Very clear explanation love it!
Thank you! You made this super easy
Brilliant explanation.
Finally! A clear explanation. Thank you
thanks bro 🎉
Thank you for the kine explanations.
you're literally a saint
Well done.
this was so helpful, you're a lifesaver.
Dude you cleared out the doubt
Well done 😃😃
the only video that has helped thank you
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
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 wish i had a good calculus professor, such a interesting subject
Thank you. I was having trouble with this concept.
THANK YOU SO MUCH FOR THIS VIDEO! :))) It was very helpful
very well explained!!
Thank you! Very clear instruction
Thank you sir
Thank you Doc, ndatsho ndabona I was so confused 🤍
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.
Truly exceptional explanation
Thanks for this amazing video..🌞
Thank you so much for this...it cleared up my understanding of applying the chair rule for trigonometric functions.
Thank you.. Great video and great explanation
this helped me so much thank you!!
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.
Great video. Well explained and so clear. Thank you!!
Very good method of explain
Thank u this was very helpful
this was exactly what I needed. thank you smmm
Well explained
Good explanation bro keep it up
Helped me so much!!!!
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
I was so confused about the sin² thingy but thanks now I understand
A life saver
I respected those funcion so hard
My exam : tomorrow
Time rgt now : 2 am
Watching : this video
Result : worth it 🔥🔥🔥🔥🔥
Thank you! Really helpful.
thank you very much...excellent presentation...
awesome video, thanks!
u daaaaaa best i just subscribed
Thank you sir that was informative
So if my understanding is correct, you first deal with the functions furthest from x?
That's what I'm getting, yes.
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
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
why can I understand this video but not when my teacher explains it
Awsome mate!
Thank you so much!
Good job!
Thank you!
Well delivered
Thank you soooooooooooooooooooooooooooooooooooooooooooooooooo much
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 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.
What a video thanx for this
thanks a lot.... 👍👍👍👍
Merci beaucoup mon frere
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
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!
very good . more high math levels videos
Thanks fam
Thank you
excellent, bro. thanks
thanks.... i get it now!
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 did respected the function itself first, but did it respect my mental health at highschool...
Thank you 😍😍
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.
Create video it has just vanished my all confusions
Thankyou 🤧
for some reason this defaulted to 2x Speed, and I was really confused why you were talking so fast
thank you so much...
You are a god.
THANK YOU
Thanks
Plz prove the tan2x by chain ruke
Thanks Sir! Doubts cleared.
Are u still active ?! 🙂
I am still here to help all.
well explained