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.
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
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 😍😍
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 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 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.
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!
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.
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.
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.
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.
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
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
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.
Thank you so much, no one had explained it this well.
Brilliant explanation.
Very clear explanation love it!
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 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.
Just wanted to say thank you for helping me understand the concept, thank you
Holy Shit, I actually understand this now.
Thank you sir, you save my final exam.
That's really understandable sir .. Thank You very much🤧
Gratitude from Philippines🇵🇭
Thank you! You made this super easy
Thank you so much, I was on the verge of tears
Thank you Doc, ndatsho ndabona I was so confused 🤍
i wish i had a good calculus professor, such a interesting subject
Finally! A clear explanation. Thank you
Gd I needa blunt
Thank you. I was having trouble with this concept.
Dude you cleared out the doubt
Well done 😃😃
you're literally a saint
Thank you for the kine explanations.
this was so helpful, you're a lifesaver.
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.
very well explained!!
amazing video
I know that the quality of this video is not that good. But I got your point 100% thank you for this explanation 👍🏻
Thank you! Very clear instruction
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
My exam : tomorrow
Time rgt now : 2 am
Watching : this video
Result : worth it 🔥🔥🔥🔥🔥
Thank you so much for this...it cleared up my understanding of applying the chair rule for trigonometric functions.
Truly exceptional explanation
the only video that has helped thank you
Great video. Well explained and so clear. Thank you!!
Very good method of explain
thanks bro 🎉
THANK YOU SO MUCH FOR THIS VIDEO! :))) It was very helpful
Well explained
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.
A life saver
Thank you! Really helpful.
Thank you sir
awesome video, thanks!
this was exactly what I needed. thank you smmm
I respected those funcion so hard
Well delivered
this helped me so much thank you!!
Thanks for this amazing video..🌞
Good explanation bro keep it up
Helped me so much!!!!
Thank you.. Great video and great explanation
well explained
Thank you 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
Good job!
thank you very much...excellent presentation...
Thank you!
Thank u this was very helpful
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
Thank you sir that was informative
Thank you
Awsome mate!
Thanks fam
why can I understand this video but not when my teacher explains it
u daaaaaa best i just subscribed
Thank you soooooooooooooooooooooooooooooooooooooooooooooooooo much
What a video thanx for this
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.
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!
thanks.... i get it now!
So if my understanding is correct, you first deal with the functions furthest from x?
That's what I'm getting, yes.
Thank you so much
Thankyou 🤧
THANK YOU
for some reason this defaulted to 2x Speed, and I was really confused why you were talking so fast
very good . more high math levels videos
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 " * "
thank you so much...
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.
Thanks
thanks a lot.... 👍👍👍👍
Merci beaucoup mon frere
Thank you 😍😍
excellent, bro. thanks
Create video it has just vanished my all confusions
Thanks Sir! Doubts cleared.
Are u still active ?! 🙂
I am still here to help all.
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.
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
Plz prove the tan2x by chain ruke
I did respected the function itself first, but did it respect my mental health at highschool...
god bless
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