Chain Rule with Trig Functions

  Рет қаралды 354,963

Joel Prestigiacomo

Joel Prestigiacomo

10 жыл бұрын

How to apply the chain rule with trig functions

Пікірлер: 178
@emmamonthony4206
@emmamonthony4206 6 жыл бұрын
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!
@justinf.2634
@justinf.2634 4 жыл бұрын
6 years later and your video made this concept easier to understand than more recent videos. Thanks man.
@jwp1136
@jwp1136 4 жыл бұрын
Thank you for the comment. I've gotten away from making videos but that makes me want to get back at it.
@countofcounts
@countofcounts 7 жыл бұрын
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.
@awesomelifestyle9650
@awesomelifestyle9650 Жыл бұрын
It has been 8 years since this video was uploaded and you’re still saving students from failing
@1HomieShawn
@1HomieShawn 6 жыл бұрын
he drew a perfect circle @ 5:50
@awesomeness1227
@awesomeness1227 3 жыл бұрын
FBI: you didnt see anything
@paarthjagga7287
@paarthjagga7287 2 жыл бұрын
He didn’t Most of these writing apps have options to draw perfect shapes
@alondram.colonvega812
@alondram.colonvega812 3 жыл бұрын
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.
@tyfischer4288
@tyfischer4288 6 жыл бұрын
I found this very very helpful, I've had a quite a hard time understanding derivate rules for trig functions (especially triple ones). Thanks!
@anthonydalessandro4351
@anthonydalessandro4351 5 жыл бұрын
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
@SamFriedman
@SamFriedman 4 жыл бұрын
I wish my calculus teacher taught calculus like you teach calculus. Thanks, Joel!
@abiaadtony7596
@abiaadtony7596 2 жыл бұрын
Bruh exactly im here cz of my trash calculus teacher
@laurenpadron5385
@laurenpadron5385 4 жыл бұрын
Thank you so much, no one had explained it this well.
@NUKINATOR44
@NUKINATOR44 5 жыл бұрын
Just wanted to say thank you for helping me understand the concept, thank you
@kevind3946
@kevind3946 7 жыл бұрын
Thank you. I was having trouble with this concept.
@trialsofkay890
@trialsofkay890 6 жыл бұрын
this was so helpful, you're a lifesaver.
@billhopkins8330
@billhopkins8330 3 жыл бұрын
Finally! A clear explanation. Thank you
@majorbob8390
@majorbob8390 4 жыл бұрын
Holy Shit, I actually understand this now.
@renan6827
@renan6827 5 жыл бұрын
Great video. Well explained and so clear. Thank you!!
@redmotherfive
@redmotherfive 4 жыл бұрын
Thank you! Very clear instruction
@areeshasaleem7418
@areeshasaleem7418 Жыл бұрын
Thank you! You made this super easy
@FaisalAnsariAFG-Gamer
@FaisalAnsariAFG-Gamer 7 ай бұрын
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 😍😍
@joelprestigiacomo4093
@joelprestigiacomo4093 7 ай бұрын
Thank you so much for your kind words.
@JimmyHenderson-mc9hq
@JimmyHenderson-mc9hq 10 ай бұрын
Very clear explanation love it!
@jacksmith-bd2eq
@jacksmith-bd2eq 4 жыл бұрын
Gd I needa blunt
@Wessam12345678910
@Wessam12345678910 8 жыл бұрын
Thank you so much for this...it cleared up my understanding of applying the chair rule for trigonometric functions.
@tiffanyrose4262
@tiffanyrose4262 2 жыл бұрын
Thank you so much, I was on the verge of tears
@tamarao.7197
@tamarao.7197 2 жыл бұрын
Brilliant explanation.
@craig7878
@craig7878 Жыл бұрын
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
@kiranrq9387
@kiranrq9387 7 жыл бұрын
A life saver
@jadonschmitt7373
@jadonschmitt7373 7 жыл бұрын
Thank you! Really helpful.
@stuckinaloop8380
@stuckinaloop8380 4 жыл бұрын
this was exactly what I needed. thank you smmm
@hopper4ooo
@hopper4ooo 8 жыл бұрын
you're literally a saint
@zemackhomeofjoyandcomedy3853
@zemackhomeofjoyandcomedy3853 2 жыл бұрын
Thank you for the kine explanations.
@amber9468
@amber9468 9 жыл бұрын
very well explained!!
@danielklinsmann8546
@danielklinsmann8546 6 жыл бұрын
awesome video, thanks!
@decemberthirty2413
@decemberthirty2413 3 жыл бұрын
That's really understandable sir .. Thank You very much🤧 Gratitude from Philippines🇵🇭
@BlessedTex_
@BlessedTex_ 2 жыл бұрын
Truly exceptional explanation
@ethanalward2215
@ethanalward2215 4 жыл бұрын
the only video that has helped thank you
@alnarndq5825
@alnarndq5825 4 жыл бұрын
THANK YOU SO MUCH FOR THIS VIDEO! :))) It was very helpful
@KatesCooking
@KatesCooking 7 жыл бұрын
Thank you so much!
@udayshankarmisra4982
@udayshankarmisra4982 4 жыл бұрын
Dude you cleared out the doubt Well done 😃😃
@DailaCarisa
@DailaCarisa 3 жыл бұрын
this helped me so much thank you!!
@lunkasaurus9839
@lunkasaurus9839 4 жыл бұрын
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.
@joelprestigiacomo4093
@joelprestigiacomo4093 4 жыл бұрын
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.
@robertj4814
@robertj4814 2 жыл бұрын
Thank you sir, you save my final exam.
@lalabengals
@lalabengals 9 жыл бұрын
Thank you!
@younggangstah8357
@younggangstah8357 Жыл бұрын
i wish i had a good calculus professor, such a interesting subject
@siphesihlemkilwa-zu5qk
@siphesihlemkilwa-zu5qk 2 ай бұрын
Thank you Doc, ndatsho ndabona I was so confused 🤍
@gyemmanuelgonkpah3878
@gyemmanuelgonkpah3878 6 жыл бұрын
Good job!
@nikztips3096
@nikztips3096 3 ай бұрын
amazing video
@sethlangendoen1313
@sethlangendoen1313 2 жыл бұрын
Helped me so much!!!!
@fahad-qx6mw
@fahad-qx6mw 3 жыл бұрын
I know that the quality of this video is not that good. But I got your point 100% thank you for this explanation 👍🏻
@bigstuff52
@bigstuff52 6 жыл бұрын
thank you very much...excellent presentation...
@gigatrooper5098
@gigatrooper5098 3 жыл бұрын
Awsome mate!
@wardakashif2469
@wardakashif2469 2 жыл бұрын
Thanks for this amazing video..🌞
@intense-kungaming3391
@intense-kungaming3391 4 жыл бұрын
I was so confused about the sin² thingy but thanks now I understand
@bochamo3895
@bochamo3895 7 жыл бұрын
Thank you
@Sinakl444
@Sinakl444 7 жыл бұрын
u daaaaaa best i just subscribed
@melomelow4327
@melomelow4327 3 жыл бұрын
Thank u this was very helpful
@snotface8
@snotface8 7 жыл бұрын
Thank you.. Great video and great explanation
@demonscar24
@demonscar24 9 жыл бұрын
thanks.... i get it now!
@studywithme-z
@studywithme-z 4 жыл бұрын
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!! 👍✌
@joelprestigiacomo4093
@joelprestigiacomo4093 4 жыл бұрын
You're welcome. Thank you for the thoughtful reply.
@ngeendinamvula2669
@ngeendinamvula2669 5 жыл бұрын
Thank you so much
@inyundootina7128
@inyundootina7128 3 жыл бұрын
Well delivered
@wayne78744
@wayne78744 5 жыл бұрын
Thank you sir that was informative
@blackaatmaX
@blackaatmaX 6 жыл бұрын
What a video thanx for this
@Aryaraj-jn9fp
@Aryaraj-jn9fp 9 ай бұрын
Bro u really are amazing I want u back
@joelprestigiacomo4093
@joelprestigiacomo4093 9 ай бұрын
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.
@912sonic
@912sonic 7 жыл бұрын
Thanks fam
@amirali-sc9kq
@amirali-sc9kq 6 жыл бұрын
Very good method of explain
@ketanravat5408
@ketanravat5408 7 жыл бұрын
thank you so much...
@bcnicholas123
@bcnicholas123 7 жыл бұрын
THANK YOU
@000Awsomeness
@000Awsomeness 6 жыл бұрын
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.
@ryukuaha7763
@ryukuaha7763 4 жыл бұрын
Ur so extra xd
@fazeeugene9111
@fazeeugene9111 4 жыл бұрын
Nate SkyWalker just subscribe moron
@user-xd1dw9cq2x
@user-xd1dw9cq2x 5 жыл бұрын
Thank you soooooooooooooooooooooooooooooooooooooooooooooooooo much
@pranaygangawanw2721
@pranaygangawanw2721 4 жыл бұрын
Good explanation bro keep it up
@UndyingPharaoh
@UndyingPharaoh Жыл бұрын
thanks bro 🎉
@migo7741
@migo7741 3 жыл бұрын
I respected those funcion so hard
@richardmibei4989
@richardmibei4989 8 жыл бұрын
well explained
@flomica7492
@flomica7492 6 жыл бұрын
Thank you 😍😍
@TimmyCao
@TimmyCao 9 жыл бұрын
Well explained
@bigseventeen6701
@bigseventeen6701 5 жыл бұрын
At the end you can simplify using the trig identity 2sin(theta)cos(theta)=sin(2•theta)
@joelprestigiacomo4093
@joelprestigiacomo4093 5 жыл бұрын
Good comment. Just want to add for others that it would read 6sin(6x) based on my notation. Thank you for the comment.
@batchrocketproject4720
@batchrocketproject4720 2 жыл бұрын
@@joelprestigiacomo4093 3sin(6x). Great video, thanks.
@djgupta9670
@djgupta9670 7 жыл бұрын
thanks a lot.... 👍👍👍👍
@aaqibali7714
@aaqibali7714 8 ай бұрын
Thank you sir
@damnson1356
@damnson1356 3 жыл бұрын
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
@eoinMB3949
@eoinMB3949 5 жыл бұрын
Merci beaucoup mon frere
@studywithjosh5109
@studywithjosh5109 6 жыл бұрын
Thanks
@celestinogmattadiaz1346
@celestinogmattadiaz1346 9 жыл бұрын
excellent, bro. thanks
@nemer9249
@nemer9249 9 жыл бұрын
very good . more high math levels videos
@tenton2000k
@tenton2000k 8 жыл бұрын
So if my understanding is correct, you first deal with the functions furthest from x?
@ericaawesomeness3081
@ericaawesomeness3081 8 жыл бұрын
That's what I'm getting, yes.
@lovelytubes1159
@lovelytubes1159 3 жыл бұрын
Thankyou 🤧
@technoyt866
@technoyt866 Жыл бұрын
My exam : tomorrow Time rgt now : 2 am Watching : this video Result : worth it 🔥🔥🔥🔥🔥
@NdaetapoValelia
@NdaetapoValelia 2 ай бұрын
i still dont understand because what about those ones with the power more than 2 e.g tan^4(5x-1)
@joelprestigiacomo4093
@joelprestigiacomo4093 2 ай бұрын
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.
@eniojunior7202
@eniojunior7202 8 жыл бұрын
thanks
@rubinakhanam7912
@rubinakhanam7912 3 жыл бұрын
Plz prove the tan2x by chain ruke
@chillblue4455
@chillblue4455 3 жыл бұрын
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!
@sherryk1186
@sherryk1186 7 жыл бұрын
god bless
@Cynique_Noir
@Cynique_Noir 4 жыл бұрын
A simple question if the power was 3 would that mean that now instead of cos 3x we would have 2 sin 3x?
@joelprestigiacomo4093
@joelprestigiacomo4093 4 жыл бұрын
It would be 3sin^2(3x)*cos(3x)*3
@Cynique_Noir
@Cynique_Noir 4 жыл бұрын
@@joelprestigiacomo4093 oooooooh i see, so the method remains the same regardless of how high the power gets, i assume
@joelprestigiacomo4093
@joelprestigiacomo4093 4 жыл бұрын
@@Cynique_Noir correct
@caoimheoflynn3795
@caoimheoflynn3795 3 жыл бұрын
why can I understand this video but not when my teacher explains it
@swellbot5738
@swellbot5738 8 жыл бұрын
You are a god.
@mjperaltaaa
@mjperaltaaa 3 жыл бұрын
i'm sorry but what am i gon do it the given is -sin²(3x)?
@judithh4947
@judithh4947 3 жыл бұрын
You'd do the same thing but where he multiplied by the power of 2 to get 2, you get -2 instead
@michaelbarton7835
@michaelbarton7835 6 жыл бұрын
for some reason this defaulted to 2x Speed, and I was really confused why you were talking so fast
@laylaad
@laylaad 6 жыл бұрын
ily
@uknome2754
@uknome2754 4 жыл бұрын
3:33..pesky lill 😂😂
@blueballoon5052
@blueballoon5052 9 жыл бұрын
If you were a woman I would marry you! I love you!
@joelprestigiacomo4093
@joelprestigiacomo4093 9 жыл бұрын
I'm flattered
@eniojunior7202
@eniojunior7202 8 жыл бұрын
+Joel Prestigiacomo hahaha
@albertbenoit6051
@albertbenoit6051 7 жыл бұрын
he is gay so btw gay unions are legal
@IoniB
@IoniB 4 жыл бұрын
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?
@joelprestigiacomo4093
@joelprestigiacomo4093 4 жыл бұрын
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.
@IoniB
@IoniB 4 жыл бұрын
Joel Prestigiacomo Thank you!! I really did not expect you to reply but really thank u for the quick reply 🙌🏼 I understand now:) ^^
@joelprestigiacomo4093
@joelprestigiacomo4093 4 жыл бұрын
@@IoniB no problem, happy to help.
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