Trick for Memorizing Trig Derivatives

[@kavan1773]

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.

[@ColesWorldofMathematics]

So glad it has helped you! Thanks for watching!

[@user-fh2rw9zh8g]

Literally same

[@PlasmaOscillations]

@@ColesWorldofMathematics Still helping people many years later. Thanks so much for the tips and memory helpers. I'm 47 and going back to school and even though I've done tons of math and physics, my memory just isn't what it used to be. These helped a lot along with your other videos.

[@c0nfidnce]

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

[@ColesWorldofMathematics]

Glad it was helpful!

[@Amani_Rose]

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)

[@johnzoilob.tolentino6440]

thanks so much

[@Hyvexx]

@@ian.jeonkook I googled it and it shows as -sinx

[@ian.jeonkook]

@@Hyvexx ahh sorry my bad. i used chat gpt earlier for this .this goddamn app gives me shit tons of wrong ans. ty tho

[@VFella]

Pretty neat too!! Thanks for sharing!

[@chargez27]

Thanks a ton

[@j215amesutube]

the simplicity of your explanation makes me wish I had seen this when I was tutoring in the university math lab.

[@ColesWorldofMathematics]

Thanks for the compliment.

[@kaioblizz3440]

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!!!

[@ColesWorldofMathematics]

You're welcome. Your statement is very true. Memorization techniques are always very helpful, and generally not shared or taught at the college level.

[@kickinbirdt250]

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!

[@ColesWorldofMathematics]

You're welcome! Glad it was very helpful! Please share my channel with the students you tutor.

[@beachwave5705]

integral version is embedded. group up the first two from the left (or last two from the right) and you get the integral

[@iLoveTurtlesHaha]

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

[@ColesWorldofMathematics]

You're welcome! Glad it was helpful! Thanks for watching.

[@billwindsor4224]

Very useful and to-the-point video; thank you, Ms. Cole!

[@ColesWorldofMathematics]

You're welcome!

[@leilahart8710]

YOU SAVED MY LIFE!!! THANK YOU SO FRICKING MUCH!!!!!!

[@ColesWorldofMathematics]

You’re welcome! Glad the video was helpful!

[@mikeanderson9055]

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!

[@ColesWorldofMathematics]

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: kzbin.info/www/bejne/b2q6p4euZ56dqpI It uses the same chart!

[@tjtiffles]

This is amazing, it makes me wonder why they don’t teach this in Calc and instead just tell us to memorize, thank you so much!

[@ColesWorldofMathematics]

Glad it was helpful!

[@TheyCallMeD]

AMAZING!!!! THANK YOU !!!!

[@ColesWorldofMathematics]

You're Welcome! Hope it helped!

[@cosette4519]

WHOA this is so amazing!! Thank you so much you just saved my brain cells

[@ColesWorldofMathematics]

So glad the video was helpful for you! Thanks for watching. 💜

[@Meecchee]

this is soo helpful! thank you!

[@ColesWorldofMathematics]

+Maria Ruiz You're welcome! Glad it was helpful!

[@katherinejefferson1799]

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.

[@thisiszubayer]

Thanks man! You've reduced my pressure by a lot!!

[@ColesWorldofMathematics]

Great to hear! Thanks for watching.

[@ThePiMan0903]

Thank you so much sir Cole!

[@ColesWorldofMathematics]

Very welcome!

[@brightgrantson7]

Excellent Approach

[@ColesWorldofMathematics]

Thanks!

[@Fahad-zv8fs]

You saved my time, Thanks!

[@ColesWorldofMathematics]

You are welcome! Glad it helped!

[@xi2098]

Found this absolute life saver right before a midterm. Thank you so so much!!!

[@ColesWorldofMathematics]

Glad it helped! Hope you did well on your midterm.

[@dougjenkins7311]

So easy to memorize now. Thank you so much!

[@ColesWorldofMathematics]

You are welcome. Glad it helped!

[@dianadinh-andrus196]

I'm in cal 3 and I've never seen this before. Thank you!

[@ColesWorldofMathematics]

You're welcome! Hope it was helpful! Thanks for watching.

[@gabrielveloz1352]

thank you very much for your help!

[@ColesWorldofMathematics]

+Gabriel Veloz You're welcome!

[@gracejames6651]

You are so kind for showing us this trick! Thank you so much!!!!! This is going to help me alot

[@ColesWorldofMathematics]

You're welcome! Glad it was helpful!

[@airborne2876]

This is a very creative and easy way to remember these trig derivatives!

[@ColesWorldofMathematics]

Thank you so much!

[@pragyasingh7591]

Loved this video, thanks ms cole :-)

[@ColesWorldofMathematics]

Glad you enjoyed it! Thanks for watching.

[@muhammedraza8451]

THANK YOU SOOOOO MUCH......Most lecturers I watched for these went really fast with these derivatives and would jump over to solving problems. This has helped me sooo much........THANK YOUUUUUUUUUUUUUUUUUUU

[@ColesWorldofMathematics]

So glad you found the video helpful! 😊

[@SERVER1992]

This video has saved so many grades. Thank you!

[@ColesWorldofMathematics]

You’re welcome! Thanks for watching!

[@rifathossain6140]

you're a genius

[@ColesWorldofMathematics]

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. 😁

[@richardmohan1037]

This helped so much! I would have never thought of this trick.

[@ColesWorldofMathematics]

Thanks! Glad you found the video! Thanks for watching!

[@richardmohan1037]

I got a 100 on that exam, very useful

[@mindfulnessrock]

That was a lifesaver. Thanks!

[@ColesWorldofMathematics]

Glad it helped! Thanks for watching.

[@kalandemumba4970]

You ma'am are the 🐐

[@anna_schenk]

this was like incredibly life changing

[@ColesWorldofMathematics]

Thanks so much! Glad it helped you out!

[@avg_marshmallow]

This is a GREAT memory tool. Thank you so much!

[@ColesWorldofMathematics]

You're very welcome! I'm glad you found it helpful! Thanks for watching and posting.

[@noreenxjana]

THIS IS SOOOOO HELPFUL TYSM ILY

[@ColesWorldofMathematics]

No problem!! 👍🏻

[@e_a_s_y-e_a_s_y]

This is so genius! Thanks Bro!

[@ColesWorldofMathematics]

Glad you like it!

[@connor4531]

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"

[@ColesWorldofMathematics]

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.

[@IanSantos-Merritt]

This was a wonderfully simple and effective trick. Thank you so much!

[@ColesWorldofMathematics]

Glad you liked it! Thanks for watching & commenting!

[@extreme989]

This is amazing. Thank you!

[@ColesWorldofMathematics]

Glad you like it! Thanks for watching & commenting.

[@worldofsadeed]

thankyou so much for this and the one on integrals... saved my time

[@ColesWorldofMathematics]

You're welcome! Glad it helped!

[@ricric4722]

You are Amazing! Thank you!!

[@ColesWorldofMathematics]

You're so welcome!

[@happinessmichael3787]

Thanks alot I've been having difficulty memorizing this, you just made it a lot easier.

[@ColesWorldofMathematics]

Glad to hear that!

[@therealadaa9]

YOU ARE A LIFE SAVER!

[@ColesWorldofMathematics]

😀 Thanks for watching.

[@aidenhall5301]

This is so helpful

[@codyd7524]

Wow, thank you for explaining the relationship in such a simple manner!

[@ColesWorldofMathematics]

You’re welcome!

[@sroydetroy6404]

man... so much time was saved from me trying to memorize these functions. God bless you.

[@ColesWorldofMathematics]

Glad the trick was helpful for you!

[@zestiestzest]

this is awesome yet so simple, thanks!

[@ColesWorldofMathematics]

You're welcome!

[@Beautybykenz42]

this just changed my life

[@ColesWorldofMathematics]

So glad it helped! Thanks for watching.

[@experiencethebeats4217]

Very helpful and an easy chart to remember! Thanks.

[@ColesWorldofMathematics]

You are welcome! Thanks for watching!

[@aymanfaghih3604]

thank you soooo much I went into youtube hoping I would find a trick but I didn't expect to find one this good

[@ColesWorldofMathematics]

Glad it was helpful!

[@strawberrymonarch]

This is so helpful, thank you!

[@ColesWorldofMathematics]

Glad it was helpful! Thanks for watching.

[@michaellora7307]

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!!(:

[@ColesWorldofMathematics]

Glad it was helpful.

[@John-wx3zn]

Thank you Cole. This is an awesome teaching. I have both charts saved for memorization and clicked like and pressed subscribe.

[@ColesWorldofMathematics]

Awesome, thank you!

[@hufflepuffwannabe]

This is amazing thank you so much!

[@ColesWorldofMathematics]

You're welcome! Thanks for watching.

[@FlamingAce58]

You are amazing!!!!!!! thank you!!!!!

[@ColesWorldofMathematics]

You're so welcome!

[@sandeep2272]

itss an awesome method. thanx for this

[@ColesWorldofMathematics]

You are welcome. Thank you for watching!

[@vandnasobti7124]

So helpful!

[@ColesWorldofMathematics]

Thanks! Always glad when a video helps someone!

[@vandnasobti7124]

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

[@belovedamia]

Helped a lot !!! Thank u

[@ColesWorldofMathematics]

You’re welcome! Thanks for watching!

[@teixeirao]

wow, what a great help! thank you very much.

[@ColesWorldofMathematics]

You are welcome! Thanks for watching. Please share with your friends.

[@anythingwithtas2769]

thank you so much! basically saved me from excruciating hours of memorizing :)

[@ColesWorldofMathematics]

You're welcome! Glad it helped!

[@elichaparo-lil_e2652]

Thank you so very much!!

[@ColesWorldofMathematics]

No worries!

[@KnexRules8365]

very underrated video, and it is saving my life the night before a test lol

[@ColesWorldofMathematics]

Great to hear that! Thanks for watching!

[@pranashaktiyog]

Helped a lot!! Thanks you so much 😍

[@ColesWorldofMathematics]

Really glad the trick was helpful! Thanks for watching.

[@ericnyatsi2967]

thank you very much

[@ColesWorldofMathematics]

You're welcome! Thanks for watching.

[@MrBorchersMaths]

So helpful thank you!!!

[@ColesWorldofMathematics]

You’re welcome!

[@haniazuha4956]

You're a life savour thankyou

[@ColesWorldofMathematics]

You're welcome! Thanks for watching.

[@delaneyhayman9624]

super helpful and simple thank you!!!

[@ColesWorldofMathematics]

That’s awesome! Thanks for watching!

[@izazzubayer3233]

Sir. You. Are. A. Legend!

[@ColesWorldofMathematics]

Thanks! 👍🏻😊

[@tiptoncommunityschoolcorpo5372]

Wonderful memorizing tricks!!!!

[@ColesWorldofMathematics]

Thanks!

[@AbbyCastaneda-l8e]

Thank you for sharing this.

[@ColesWorldofMathematics]

My pleasure! Thanks for watching & commenting!

[@muslimuddin1743]

Thank you very very much for this easy memorization trick!!!

[@ColesWorldofMathematics]

Most welcome!

[@soybeanmilkandcats]

Thank you!!

[@ColesWorldofMathematics]

You're welcome!

[@kallewille]

Thank you!

[@ColesWorldofMathematics]

You're welcome! ❤️

[@poshypop]

THANK YOU SO MUCH

[@ColesWorldofMathematics]

You're welcome! Thanks for watching.

[@GladysGraces2]

Life saver, thank youu

[@ColesWorldofMathematics]

Happy to help!

[@colin669969]

Nice one. Thank you!

[@ColesWorldofMathematics]

You're welcome!

[@FaffyWaffles]

I always remember that if it starts with "C", there will be a negative sign in it

[@ColesWorldofMathematics]

Several of my students have used that as a mnemonic. 👍🏻

[@김시현-s9t]

This is so helpful. Thanks bro

[@ColesWorldofMathematics]

No problem!

[@salahaldinalamleh655]

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!

[@ColesWorldofMathematics]

Thanks! Glad you enjoyed the video! Thanks for watching.

[@cheesecake5859]

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

[@ColesWorldofMathematics]

Glad the video was helpful!

[@cheesecake5859]

@@ColesWorldofMathematics me too lol

[@hstoroschuk]

thankyou!!!!!!!!!

[@ColesWorldofMathematics]

You're welcome! Thanks for watching.

[@JadedNebula]

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!

[@ColesWorldofMathematics]

Glad the video was helpful! Thanks for watching & commenting!

[@meganwerts7229]

absolute lifesaver

[@manishkota4145]

OMG I am so glad I searched this up...

[@ColesWorldofMathematics]

Me too. Thanks for watching.

[@NATHANIELDELOSSANTOS-q5r]

Wow! this is very helpful!

[@ColesWorldofMathematics]

Glad it was helpful!

[@zestyoverlord6772]

I had my doubts when I clicked on this video, but this was immensely helpful.

[@ColesWorldofMathematics]

Glad you found it helpful! Thanks for watching!

[@starshipx1282]

Cole’s world must be a very beautiful one. Thanks for this.

[@ColesWorldofMathematics]

You’re welcome.

[@mathteacher2651]

Excellent! thank you

[@aydancetola9622]

Amazing!

[@ColesWorldofMathematics]

Thank you! Cheers!

[@SaulxDR]

Wow! Thanks man

[@ColesWorldofMathematics]

You bet!

[@SuperLazyCat]

Thank you this saved me hours of flashcards

[@ColesWorldofMathematics]

Least glad when my videos help someone! 👍🏻😃 Thanks for watching!

[@aiimsdream3224]

Thank you very much , May God bless you👍

[@ColesWorldofMathematics]

Same to you!

[@hannahs_music]

OMG thanks so much!

[@ColesWorldofMathematics]

You're welcome! Thanks for watching & commenting.

[@kaykayrae7583]

i love this man

[@ColesWorldofMathematics]

Thanks!

[@anaonofre1862]

Thank you so much. I always mixed derivatives of cot and csc

[@ColesWorldofMathematics]

You're welcome!

[@fs5297]

Excellent 👌🏻

[@ColesWorldofMathematics]

Thanks!

[@reemalzubaidi9989]

YOU ARE A LIFE SAVER. 5 HOURS TILL MY CALCULUS FINAL EXAM

[@ColesWorldofMathematics]

Good Luck!!!! 👍🏻

[@samw5572]

This is so helpful I couldn't memorize these until now

[@ColesWorldofMathematics]

Glad it helped you out!

[@mylobage]

Who would dislike this??

[@ColesWorldofMathematics]

Very good question! 👍🏻😀

[@JiggyWasTaken]

amazing thank you so much

[@ColesWorldofMathematics]

You're very welcome! Thanks for watching & commenting!