I want to join in the chorus of thanking you. I'm pretty OK with derivatives in general but your tutorial has helped me plug a hole in my trigonometry calculus. You've saved my ass with your video! I shall now subscribe because the way you carefully went through each example was so very helpful. It has helped me get some confidence in tackling these problems in my tutorial. The step by step mode of delivery was very powerful. Thank you, you have been helpful not hurtful.
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@@rockingrowan I think you are finding the derivative of [cos(3x)]^2 whereas the actual problem is cos[(3x)^2]. The exponent is inside the cosine function not outside. When the exponent is inside the cosine function, they write it in the middle like cos^2(3x).
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I am highly thankful to you Sir .. I watched many videos but they didn't talk about the trig functions but u made it very easy to me even now I'm able to do every question with ease ...Again thanks a lot sir and please sir keep uploading the video ❤❤
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If you don’t rewrite (3x)^2 as 9x^2, you will have to do the chain rule twice. After you take the derivative of the outer function, you multiply by the derivative of (3x)^2 which is 2(3x) but then you multiply by the derivative of 3x which is 3. You get the same answer in the end so it’s up to you. I’m so glad you found the video helpful. 😊
Thank you sir I have understood the chain rule. With respect to you, can you make a full course video of calculus? I'm a high school student who is struggling with calculus.
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Thank you for uploading this video. Otherwise, I wouldn't have understood derivatives where everything is squared. Also, it is faster to replace the 1 with a corresponding denominator to subtract it from the 1/2 or 3/2. Thank you. I appreciate this for real.👌
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It would have been the product rule if it had been cos(x) •x^2. However because it is cos(3), that’s just a constant. You don’t need the product rule when multiplying by a constant. It is like have 5•x^2. No product rule needed.
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![The Chain Rule for Derivatives in Calculus - [1-5]](http://i.ytimg.com/vi/HpymsAXhJAM/mqdefault.jpg)
I’m from France and you’r the one who succeed to make clear chain rule. Thank you so much.
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I want to join in the chorus of thanking you. I'm pretty OK with derivatives in general but your tutorial has helped me plug a hole in my trigonometry calculus. You've saved my ass with your video! I shall now subscribe because the way you carefully went through each example was so very helpful. It has helped me get some confidence in tackling these problems in my tutorial. The step by step mode of delivery was very powerful. Thank you, you have been helpful not hurtful.
I really appreciate your feedback. You made my day!
went into this not knowing how to do chain rule and now I understand it!!!!!Thank you so much
Yay! So glad I could help! 😊
don't know if you remember me... but passed pre calc thanks to your videos and now I'm in calc, and here you are helping me again! 🤗🤗
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For your example 6, I got y'=-6 cos(3x) sin(3x), and confirmed with a derivative calculator. What would explain your answer being different?
@@rockingrowan I think you are finding the derivative of [cos(3x)]^2 whereas the actual problem is cos[(3x)^2]. The exponent is inside the cosine function not outside. When the exponent is inside the cosine function, they write it in the middle like cos^2(3x).
Thank you so much for the thorough steps!!
Reimi Wakabayashi You are so welcome. I am working on a full set of calculus videos. Be sure take a look at my channel. Hopefully you will find many more helpful videos 😊. ua-cam.com/users/MrHelpfulNotHurtfulplaylists?view=50&sort=dd&shelf_id=15
I am highly thankful to you Sir .. I watched many videos but they didn't talk about the trig functions but u made it very easy to me even now I'm able to do every question with ease ...Again thanks a lot sir and please sir keep uploading the video ❤❤
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THIS SAVED ME THANK YOU
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Most helpful video about this topic! I have watched multiple videos but this one is the best :)
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Thx u soo much this really helped me a tonne ,loved the way you simplified the steps ❤️ . I have a question @9:50 is it compulsory to expand (3x)^2 ?
If you don’t rewrite (3x)^2 as 9x^2, you will have to do the chain rule twice. After you take the derivative of the outer function, you multiply by the derivative of (3x)^2 which is 2(3x) but then you multiply by the derivative of 3x which is 3. You get the same answer in the end so it’s up to you.
I’m so glad you found the video helpful. 😊
Thanks so much
You have helped me
Should have 100x the thumbs up, best video on this topic. Thank you so much friend.
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You are going to make me pass my exam!!! Nothing was making sense before these vids
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This gonna help me pass the exam
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You saved my butt in 2024 thank you so much
@@nokulungamacu I’m so glad I was able to help! I appreciate your feedback. 😎
Thank you sir I have understood the chain rule. With respect to you, can you make a full course video of calculus? I'm a high school student who is struggling with calculus.
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@@MrHelpfulNotHurtful Thank you so much I'm gonna share your channel to my classmates
Very well explained 👏. Helps in better understanding. Thank you 😊
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Thank You So Much The way u explained let me to understand very easily.
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Thank you soooo much for this.
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Thank you for uploading this video. Otherwise, I wouldn't have understood derivatives where everything is squared. Also, it is faster to replace the 1 with a corresponding denominator to subtract it from the 1/2 or 3/2. Thank you. I appreciate this for real.👌
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Thank you so much Mr helpfull
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VERY HELPFUL FOR TOMORROW EXAM TO ME
THANKS SIR ❤️
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This really helped me.thanks 😊
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You mean the derivative of cos3 is cos3 also?
Very helpful- thanks
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so appreciate these videos!!!
mustacheforever68 I’m glad you like the videos. I put a lot of care into them. 😊
Why is 5 not product rule?
It would have been the product rule if it had been cos(x) •x^2. However because it is cos(3), that’s just a constant. You don’t need the product rule when multiplying by a constant. It is like have 5•x^2. No product rule needed.
thanks teacher
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What a life saver!
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Thanks a bunch!
The pleasure is mine. 😎
This is the first time I’ve understood this, when it’s been about a month of people talking about it in class haha
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