Trick for Memorizing Trig Derivatives
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- Опубликовано: 7 дек 2015
- This video describes a method for helping students to memorize the Basic Trig Derivatives.
#mathematics #calculus #maths
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For clarification, I did not create this mnemonic device for remembering trig derivatives. Variations of this mnemonic device can be found all around the internet. For example, Tim Pettis presents a similar method in a Prezi Presentation, Mark Ryan presents a similar method in his book "Calculus Essentials for Dummies", MalignedAnus describes the method in a post on Reddit, and Vedant Mehta has created a RUclips video.
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For the longest time I've had to go back and memorize these before every test. You've saved me so much time I can't thank you enough.
So glad it has helped you! Thanks for watching!
Literally same
A trick for memorising the sin, cos integral and derivative is to do:
S
-C C
-S
going clockwise from sine gives you the derivative
going anti-clockwise gives you the integral.
My teacher taught me this and before that, I used to think of its as a shift of the function's graph by 90.
So sin(x+90) = cos etc
and for each derivative, you add 90 degrees more, so f' '(x) = sin(x+180) which is just -sine
for integrals, you do (x-90)
thanks so much
@@mrswinterbeartrustfrated1042 I googled it and it shows as -sinx
@@Hyvexx ahh sorry my bad. i used chat gpt earlier for this .this goddamn app gives me shit tons of wrong ans. ty tho
Pretty neat too!! Thanks for sharing!
Thanks a ton
You just turned what was about to be an hour-and-a-half long study session into a five minute video and probably a lifelong understanding. Thanks dude
Glad it was helpful!
the simplicity of your explanation makes me wish I had seen this when I was tutoring in the university math lab.
Thanks for the compliment.
If there is one thing I miss about high school the most was how professors offered memorizing devices like these to students. Remembering sin and cos was relatively easy for me but the other 4 were a pain. This made it so much easier, thank you!!!
You're welcome. Your statement is very true. Memorization techniques are always very helpful, and generally not shared or taught at the college level.
At first I was like "oh my gawwwwd, I have to remember all this???" but then I tried it and it turns out I can remember the chart so I'm good. haha. Thanks :P
You're welcome! Glad it was helpful! Thanks for watching.
Very useful and to-the-point video; thank you, Ms. Cole!
You're welcome!
THANK YOU SO MUCH FOR THESE TIPS! I don't even remember how I ended up here, but I'm so glad I did! As a math/physics tutor (and student, for that matter) I'm ALWAYS struggling to remember all of these seemingly basic derivatives. Every semester I have to refamiliarize myself with each one of these, and this video organizes all of that information so helpfully. I'll be writing down all these notes and using them regularly for my students... can't wait to get to the integral version of this!
You're welcome! Glad it was very helpful! Please share my channel with the students you tutor.
integral version is embedded. group up the first two from the left (or last two from the right) and you get the integral
I think you've just saved my semester! I was going crazy trying to memorize everything - I wish my professors had taught me this method! Thank you!
You're welcome. When you get to Trig Integrals, you'll have a lot to memorize with those too. Be sure to check out this video for Trig Integrals: ruclips.net/video/99WvTx29jt0/видео.html It uses the same chart!
You are so kind for showing us this trick! Thank you so much!!!!! This is going to help me alot
You're welcome! Glad it was helpful!
Thank you Cole. This is an awesome teaching. I have both charts saved for memorization and clicked like and pressed subscribe.
Awesome, thank you!
I really love math but I could never fully enjoy trig. units because the straight up memorization was always so difficult. This helps a TON. Thank you.
So easy to memorize now. Thank you so much!
You are welcome. Glad it helped!
thankyou so much for this and the one on integrals... saved my time
You're welcome! Glad it helped!
this is soo helpful! thank you!
+Maria Ruiz You're welcome! Glad it was helpful!
WHOA this is so amazing!! Thank you so much you just saved my brain cells
So glad the video was helpful for you! Thanks for watching. 💜
Wow, thank you for explaining the relationship in such a simple manner!
You’re welcome!
thank you soooo much I went into youtube hoping I would find a trick but I didn't expect to find one this good
Glad it was helpful!
this is absolutely phenomenal! god, bless ur dear soul for the amazing video. great quality, very quick, simple, right to the point and very well explained!
Thanks! Glad you enjoyed the video! Thanks for watching.
Very helpful and an easy chart to remember! Thanks.
You are welcome! Thanks for watching!
Thanks man! You've reduced my pressure by a lot!!
Great to hear! Thanks for watching.
This was a wonderfully simple and effective trick. Thank you so much!
Glad you liked it! Thanks for watching & commenting!
YOU SAVED MY LIFE!!! THANK YOU SO FRICKING MUCH!!!!!!
You’re welcome! Glad the video was helpful!
Thanks alot
I've been having difficulty memorizing this, you just made it a lot easier.
Glad to hear that!
This is a GREAT memory tool. Thank you so much!
You're very welcome! I'm glad you found it helpful! Thanks for watching and posting.
This helped so much! I would have never thought of this trick.
Thanks! Glad you found the video! Thanks for watching!
I got a 100 on that exam, very useful
This is a very creative and easy way to remember these trig derivatives!
Thank you so much!
You saved my time, Thanks!
You are welcome! Glad it helped!
THIS IS SOOOOO HELPFUL TYSM ILY
No problem!! 👍🏻
This is amazing. Thank you!
Glad you like it! Thanks for watching & commenting.
thank you very much for your help!
+Gabriel Veloz You're welcome!
Loved this video, thanks ms cole :-)
Glad you enjoyed it! Thanks for watching.
This is so helpful, thank you!
Glad it was helpful! Thanks for watching.
Helped a lot!! Thanks you so much 😍
Really glad the trick was helpful! Thanks for watching.
wow, what a great help! thank you very much.
You are welcome! Thanks for watching. Please share with your friends.
I'm in cal 3 and I've never seen this before. Thank you!
You're welcome! Hope it was helpful! Thanks for watching.
You are Amazing! Thank you!!
You're so welcome!
That was a lifesaver. Thanks!
Glad it helped! Thanks for watching.
man... so much time was saved from me trying to memorize these functions. God bless you.
Glad the trick was helpful for you!
Thank you so much sir Cole!
Very welcome!
AMAZING!!!! THANK YOU !!!!
You're Welcome! Hope it helped!
This is so genius! Thanks Bro!
Glad you like it!
Helped a lot !!! Thank u
You’re welcome! Thanks for watching!
this is awesome yet so simple, thanks!
You're welcome!
Thank you very very much for this easy memorization trick!!!
Most welcome!
super helpful and simple thank you!!!
That’s awesome! Thanks for watching!
Excellent! thank you
This is so helpful. Thanks bro
No problem!
This is amazing thank you so much!
You're welcome! Thanks for watching.
very underrated video, and it is saving my life the night before a test lol
Great to hear that! Thanks for watching!
This video has saved so many grades. Thank you!
You’re welcome! Thanks for watching!
So helpful thank you!!!
You’re welcome!
Thank you so very much!!
No worries!
thank you so much! basically saved me from excruciating hours of memorizing :)
You're welcome! Glad it helped!
This is so helpful
The way I remember the anti-derivatives and derivatives of sin or cos is through a level system. If you imagine integration as going up a level and differentiation as going down a level then you just need to remember this:
-c
s
c
-s
where for derivatives -cosx derives to sinx, sinx derives to cosx, cosx derives to -sinx and then it loops to -sinx derives to -cosx and vice versa for integrals. This is what I was taught by my maths teacher and it helped me out a lot, it's second nature now.
When drawing the four letters I say in my head "C, S, C, S - Negatives at the ends"
Thanks! I have had one other person tell me the same trick. It's a good way to remember sin and cos. Thanks for the trick and thanks for watching.
Thank you so much! I was about to memorize this and the trig integrals and you saved me so much time! Easy to follow and understand!!(:
Glad it was helpful.
I had my doubts when I clicked on this video, but this was immensely helpful.
Glad you found it helpful! Thanks for watching!
Wow! this is very helpful!
Glad it was helpful!
You are amazing!!!!!!! thank you!!!!!
You're so welcome!
Nice one. Thank you!
You're welcome!
Wonderful memorizing tricks!!!!
Thanks!
Bro you made my day!!!
Glad you enjoyed!
Holy crap where were you when I took this course a few years ago. I just needed a quick refresher for my current class and now I'm set lol
Glad the video was helpful!
@@ColesWorldofMathematics me too lol
itss an awesome method. thanx for this
You are welcome. Thank you for watching!
YOU ARE A LIFE SAVER!
😀 Thanks for watching.
Thank You!!
Welcome!
_thank you so much_
really really helped me a lot.
*SUBSCRIBED*
Thanks and thanks for subscribing!
Wow it's amazing . Please also share a trick to remember derivative of inverse trigonometric functions.
ruclips.net/video/NI9Avfc9K2M/видео.html
Thank you!!
You're welcome!
Wow! Thanks man
You bet!
i am not even kidding you are saving my life right now
absolute lifesaver
So helpful! Thank you I have my calc exam tomorrow
Hope it went well for you!
Excellent Approach
Thanks!
Thank you very much , May God bless you👍
Same to you!
This is so helpful I couldn't memorize these until now
Glad it helped you out!
you're a genius
Thanks, but this original idea is available all over the internet, I did not come up with it, I just made a video to easily explain it. 😁
THANK YOU SO MUCH
You're welcome! Thanks for watching.
You're a life savour thankyou
You're welcome! Thanks for watching.
Life saver, thank youu
Happy to help!
OMG I just wrote a calculus test that was sooo tricky yesterday that I did not finish... but with this, I swear I am ready to pass
👍🏻
Thank you!
You're welcome! ❤️
Amazing!
Thank you! Cheers!
Cole’s world must be a very beautiful one. Thanks for this.
You’re welcome.
OMG thanks so much!
You're welcome! Thanks for watching & commenting.
Thank you! I forgot all my calculus and need to take the math GRE and this channel is a godsend!w
Glad it will be helpful!
Very great. Thanking you
You're welcome! Thanks for watching.
This video is a amazing thank you
Glad you enjoyed it!
i love this man
Thanks!
THAT"S F* GENIUS !!!!!!!!!! Lady you are the best!!!! OMGsh i was sufferring to memorize those derivatives and hiperbolic derivatives ,but now .. no more !!!! THANK YOU!!!!!!
You’re welcome! My goal is always to make things easier to memorize!
It helped me , thank you so much madam , God bless you.
You’re welcome! Thanks for watching!
Wowww... Thank you!
You're welcome.
You ma'am are the 🐐
Wow this is so much better than listening to the trig derivative song 1000 times vs using 6 words to remember the 6 trig derivatives!
Glad the video was helpful! Thanks for watching & commenting!
Thank you so much. I always mixed derivatives of cot and csc
You're welcome!
Thank you so much
You’re welcome! Thanks for watching!
So helpful!
Thanks! Always glad when a video helps someone!
Cole's World of Mathematics ma'am I've been trying to learn these for like ages and this video has saved a life! Lots of love! Thank you!! Xo
I must inform you that all six equations written are not true. On the left side of each equation has the Leibniz derivative notation with respect to x. Then on the right of the derivative notation is a trigonometric function with u as its independent variable. Assuming x ≠ u, which was not stated, all six equations are simply wrong (they should all equal zero). You needed to keep both variables the same. The overall idea of this memorization tool for trigonometric derivatives is superb. Though most people glide across this small detail, if shown to a meticulous person it will not go without mentioning. Thank you for sharing this trick and allowing many people to learn from this video.
In the top right hand corner, it states that "u" is in terms of "x", meaning that the "u" in the formula represents a function written in terms of "x". This is common notation found in many Larson Calculus Books (written by Ron Larson).
omg this is aweome!!!
Glad it was helpful!