WHY couldn’t my calc prof explain inverse trig derivatives like this? She made it much more confusing. You make it seems like something I could have figured out on my own.😊
My man did the great job! After watching the derivatives of arcsin,I did all the rest of derivative of inverse tri functions on my own becuz I already have similar idea before. Btw,This informative video makes my mind clear and dawn upon my imaginations. -wondering why you are so underrated.
One should use arcsin and so forth. That is the way it is done in all non-English speaking countries. The notation sin^-1 can be confused with (sin X)^-1.
Here I go again. I know that I just told you that I’m not bothered by notation, but I guess there’s an exception to that rule. I much prefer the arc*** notation rather than the -1 notation.
@@bprpcalculusbasics As el. engineer, for me is sin^-1(x)=1/sin(x). Because we use all the time, for example, sin^2(x). I know about this notation too, of course, but it was a little bit confusing at the beginning. If it is just some random function f, than I would never think about f^-1 as something other than inverse function. It must be hardcoded in my brain during education...
I know that for derivatives of arcsec(x) and arccsc(x) was supposed to have an absolute value around the x in most textbooks since you said that it depends on the domain, but when you derive using the proof, how do you get that one with the absolute value?
Unfortunately I do not have the time to make a video now. But I made a post, please see here ua-cam.com/channels/MUu2lQ_ilNsb26oWrc5ENw.htmlcommunity?lb=UgzaLm2NcjWufD5E6YB4AaABCQ
I just love the way you change markers while writing without being noticed. It feels so cool. However, why do you hold that pokeball throughout the lecture?
hint you can rewrite arcsec(x)=arccos(1/x), arccsc(x)=arcsin(1/x), arccot(x)=arctan(1/x) make sure to use u substitution for inverse trigs hope this is helpful
Can you please do a video about Improper Integrals - Convergence and Divergence? your video helped me a lot in my last quiz and this week on Thursday I have this topic
Cool video. I’ve been trying to work on the derivative of the inverse of the error function (but scaled by 2/sqrt(pi) to remove the constant from the definition) and I got to dy/dx=e^y^2. Unfortunately getting y is annoying so I decided to move on. If you want to try it for a video that would be cool.
Hello teacher I love your sensitivity about your work ( the picture should be nice). It shows us how you respect for your work (actually Math) and your audience. Thank you so much teacher
i feel stupid for not ever using a right angle triangle i just always used cos^2(a)+sin^2(a) = 1 and got stuck whenever it involved functions other than sin and cos
From your typing, you don’t even know proper English. No wonder you don’t understand his English. It looks like you need to brush up your English. I don’t have a problem understanding his pronunciation. It’s you the problem.
Man just simplified and showed where the formula came from. Kudos
WHY couldn’t my calc prof explain inverse trig derivatives like this? She made it much more confusing. You make it seems like something I could have figured out on my own.😊
the problem was that she was a female teaching maths
@@overlord3481 ?
@@overlord3481 ew cringe take
@@chriswellnitz Almost every female math teacher sucks
@@Eqwnyxx I mean ours are pretty good. But I still think our profesor is the best lmao
10:25 Two angles that add up to π/2 are said to be complementary. That's where the co in cosine, cotangent, cosecant comes from.
wow… now i learn one more knowledge in addition to the video. big thank to all of you guys who generously shares their knowledge.
thank you, my calc teacher gave no explanation as to how these derivatives are derived and simply told us to memorize them, this is quite helpful
Couldnt have a better timing with my cal 1 class now that I'm comfortable with the trig derivatives. Thank you!
I already read this via implicit derivativez but you expained it better. You always number 1 to me Sir. Thankyou
This is great well done, really clear and interesting. I like how you use your highlighter to do the math, shows how much you respect math. Elegant.
My man did the great job!
After watching the derivatives of arcsin,I did all the rest of derivative of inverse tri functions on my own becuz I already have similar idea before. Btw,This informative video makes my mind clear and dawn upon my imaginations.
-wondering why you are so underrated.
One should use arcsin and so forth. That is the way it is done in all non-English speaking countries. The notation sin^-1 can be confused with (sin X)^-1.
Great video! Could you please also show the derivatives for hyperbolic and inverse hyperbolic trig functions? Thanks
Here I go again. I know that I just told you that I’m not bothered by notation, but I guess there’s an exception to that rule. I much prefer the arc*** notation rather than the -1 notation.
I agree the arc something notation is better. It’s just a bit too long to write them. 😆
@@bprpcalculusbasics As el. engineer, for me is sin^-1(x)=1/sin(x). Because we use all the time, for example, sin^2(x).
I know about this notation too, of course, but it was a little bit confusing at the beginning.
If it is just some random function f, than I would never think about f^-1 as something other than inverse function.
It must be hardcoded in my brain during education...
this man right here the goat
That made it so much easier to remember.
I love this channel so far! Keep it up man
Oh my God, this is life changing
看不懂stewart老師的微積分跑來這裡
謝謝曹老師 這解釋真的更容易理解了
Dear sir really Your way is helpful to the beginner students.
you are great at explaining great video
More easier to listen to, thanks sir!
I know that for derivatives of arcsec(x) and arccsc(x) was supposed to have an absolute value around the x in most textbooks since you said that it depends on the domain, but when you derive using the proof, how do you get that one with the absolute value?
Unfortunately I do not have the time to make a video now. But I made a post, please see here ua-cam.com/channels/MUu2lQ_ilNsb26oWrc5ENw.htmlcommunity?lb=UgzaLm2NcjWufD5E6YB4AaABCQ
Great video man
I came here from your other calculus video and I got scared by your beard.
Big fan sir, 🇧🇩 🇧🇩 💕
I just love the way you change markers while writing without being noticed. It feels so cool. However, why do you hold that pokeball throughout the lecture?
You have really fed my brain sir thanks 👍 so much
thank you sir
hint you can rewrite arcsec(x)=arccos(1/x), arccsc(x)=arcsin(1/x), arccot(x)=arctan(1/x) make sure to use u substitution for inverse trigs hope this is helpful
Just saved my life very well explained thank you so much 😅
Wow awesome, explanations sir!
يوم الثلاثاء علي امتحان في التفاضل و التكامل 2 اتمنى ان احصل على العلامت الكامله 😅
ابشر؟
@@multimeme5935 حصلت على علامة كامله شكرا لسائلك هاذا من لطفك
ظننت اني العربي الوحيد الذي يتابع هاذه القنات 😅
@@multimeme5935
لقد حصلت على العلامة الكاملة شكراً لسائلك
هاذا من لطفك .
ظننت اني الشخص العربي الوحيد الذي يتابع هاذه القنات😅
@@multimeme5935
حصلت على العلامت الكاملة شكرا لسائلك هاذا من لطفك .
ظننت اني العربي الوحيد الذي يتابع هاذه القنات
@@multimeme5935
حصلت على علامت كاملة
شكراً لسائلك هاذا من لطفك.
ظننت اني العربي الوحيد الذي يتابع هاذه القنات 😅
now i know how they come up with all those formulars, thanks
My calc teacher just skipped over this and gave us the derivatives On a piece of paper :(((
Thanks black pen red pen
Hey Steve! You should ELI5 on what analytic geometry and analytic trigonometry are.
very cute explanation 🤩
9:53 i dont understand why the angel is sin^-1 (x) . Any one can explain?
It's because sin^1(x) means "the angle whose sine is x", and x = x/1. So opposite = x, and hypotenuse = 1, like the triangle he drew
@@hydropage2855 OH YEAH YOU'RE RIGHT. Hahaha i was just so confuse with myself
Please sir , am so joyous after watching your video, please tag me each time you post a new video .Am John Ollor from Ghana thanks
Thanks lecturer, let's to make integration of inverse hyperbolic & trigonometry function?
He really kept holding the Pokémon ball, what a legend
Superb
Can you please do a video about Improper Integrals - Convergence and Divergence? your video helped me a lot in my last quiz and this week on Thursday I have this topic
Here’s a video on them ua-cam.com/video/sjlZ_KX3cqM/v-deo.html
Cool video. I’ve been trying to work on the derivative of the inverse of the error function (but scaled by 2/sqrt(pi) to remove the constant from the definition) and I got to dy/dx=e^y^2. Unfortunately getting y is annoying so I decided to move on. If you want to try it for a video that would be cool.
看過三角函數和反三角函數微分的影片後有個疑問 就是為什麼我們高中開始最熟悉的三角函數是sin cos tan啊 為什麼不把cos換成sec🤔 難道是因為三角恆等式嗎
thank you so much!
Really good
this helps so much ty
Better explanation
What is the ball for? Just curious
for style 😎
He's actually holding a mic 🎤
Good job
you are the goat
Thanks a lot.
sir I love you soooo much❤️
thanks bro
Hello teacher
I love your sensitivity about your work ( the picture should be nice). It shows us how you respect for your work (actually Math) and your audience.
Thank you so much teacher
thanks a lot
i love you asian teacher
Amazing
perfect👌🏻
thank you
i feel stupid for not ever using a right angle triangle
i just always used cos^2(a)+sin^2(a) = 1 and got stuck whenever it involved functions other than sin and cos
I also immediately thought to do 1/(sec^2 y) = cos^2 y.
Thank You * d/dx [1Billion*x] times 😅
you are so handsome with this beard
👍👍👍
please cut the haire becouse frithed
Talk another language instead of english. Do you understand what you pronounce?
You're rude😢
You need to work on your grammar too😂
From your typing, you don’t even know proper English. No wonder you don’t understand his English. It looks like you need to brush up your English. I don’t have a problem understanding his pronunciation. It’s you the problem.
thank you so much!