Trick for Memorizing Trig Derivatives

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 YouTube video.

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[kavan]

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.

[cnfidnce]

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

[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)

[jamesutube]

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

[kaioblizz]

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!!! <3

[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!

[leilahart]

YOU SAVED MY LIFE!!! THANK YOU SO FRICKING

[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

[billwindsor]

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

[kickinbirdt]

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!

[mikeanderson]

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!

[xi]

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

[happinessmichael]

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

[connor]

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"

[cosette]

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

[thisiszubayer]

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

[katherinejefferson]

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.

[dougjenkins]

So easy to memorize now. Thank you so much!

[airborne]

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

[avg_marshmallow]

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