Inverse trig functions derivatives

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  • Опубліковано 23 гру 2024

КОМЕНТАРІ • 89

  • @rationalcommentor
    @rationalcommentor Рік тому +24

    Man just simplified and showed where the formula came from. Kudos

  • @marioluigijam3612
    @marioluigijam3612 2 роки тому +94

    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.😊

    • @overlord3481
      @overlord3481 6 місяців тому +2

      the problem was that she was a female teaching maths

    • @moocow3541
      @moocow3541 6 місяців тому

      @@overlord3481 ?

    • @chriswellnitz
      @chriswellnitz 3 місяці тому +4

      ​@@overlord3481 ew cringe take

    • @Eqwnyxx
      @Eqwnyxx 2 місяці тому

      ​@@chriswellnitz Almost every female math teacher sucks

    • @bigchungusdriplord2301
      @bigchungusdriplord2301 2 дні тому

      ​@@Eqwnyxx I mean ours are pretty good. But I still think our profesor is the best lmao

  • @neilgerace355
    @neilgerace355 3 роки тому +58

    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.

    • @horriblekid3014
      @horriblekid3014 2 місяці тому

      wow… now i learn one more knowledge in addition to the video. big thank to all of you guys who generously shares their knowledge.

  • @ImperialFold
    @ImperialFold 2 місяці тому +4

    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

  • @ChrisP999
    @ChrisP999 3 роки тому +29

    Couldnt have a better timing with my cal 1 class now that I'm comfortable with the trig derivatives. Thank you!

  • @vinzxd3114
    @vinzxd3114 3 місяці тому +3

    I already read this via implicit derivativez but you expained it better. You always number 1 to me Sir. Thankyou

  • @ramyhuber8392
    @ramyhuber8392 26 днів тому

    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.

  • @abeloiscauchy8009
    @abeloiscauchy8009 2 роки тому +3

    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.

  • @wolfgangpauli4489
    @wolfgangpauli4489 9 місяців тому +3

    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.

  • @lstrike6964
    @lstrike6964 3 роки тому +10

    Great video! Could you please also show the derivatives for hyperbolic and inverse hyperbolic trig functions? Thanks

  • @arimermelstein9167
    @arimermelstein9167 3 роки тому +7

    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
      @bprpcalculusbasics  3 роки тому +8

      I agree the arc something notation is better. It’s just a bit too long to write them. 😆

    • @sabkobds
      @sabkobds 2 роки тому +1

      ​@@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...

  • @crtroll776
    @crtroll776 Місяць тому

    this man right here the goat

  • @ReTautica
    @ReTautica 2 роки тому +2

    That made it so much easier to remember.

  • @glowmobile596
    @glowmobile596 3 роки тому +1

    I love this channel so far! Keep it up man

  • @SeanBenson23
    @SeanBenson23 3 роки тому +1

    Oh my God, this is life changing

  • @SammaS14owo
    @SammaS14owo 2 роки тому

    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

  • @ThimmegowdaNM
    @ThimmegowdaNM 4 місяці тому

    Dear sir really Your way is helpful to the beginner students.

  • @ramoncastillo532
    @ramoncastillo532 9 місяців тому

    you are great at explaining great video

  • @persiusathena336
    @persiusathena336 Рік тому

    More easier to listen to, thanks sir!

  • @justabunga1
    @justabunga1 3 роки тому +6

    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?

    • @bprpcalculusbasics
      @bprpcalculusbasics  3 роки тому

      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

  • @arthurzaneti-cx2en
    @arthurzaneti-cx2en Рік тому +2

    Great video man

  • @prashishdahal9605
    @prashishdahal9605 2 роки тому +2

    I came here from your other calculus video and I got scared by your beard.

  • @SaifulIslam-id1rt
    @SaifulIslam-id1rt Рік тому

    Big fan sir, 🇧🇩 🇧🇩 💕

  • @Tejshree.Meshram
    @Tejshree.Meshram 6 місяців тому

    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?

  • @SoftMbuzi
    @SoftMbuzi 3 місяці тому

    You have really fed my brain sir thanks 👍 so much

  • @horriblekid3014
    @horriblekid3014 2 місяці тому +1

    thank you sir

  • @MilanPrajapati-o1e
    @MilanPrajapati-o1e Рік тому +1

    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

  • @charlesbrown6250
    @charlesbrown6250 3 місяці тому +2

    Just saved my life very well explained thank you so much 😅

  • @NurbolBelyal
    @NurbolBelyal Рік тому

    Wow awesome, explanations sir!

  • @حامدعبدالفتاح-ت1ض
    @حامدعبدالفتاح-ت1ض 8 місяців тому +2

    يوم الثلاثاء علي امتحان في التفاضل و التكامل 2 اتمنى ان احصل على العلامت الكامله 😅

    • @multimeme5935
      @multimeme5935 6 місяців тому +1

      ابشر؟

    • @حامدعبدالفتاح-ت1ض
      @حامدعبدالفتاح-ت1ض 6 місяців тому +1

      @@multimeme5935 حصلت على علامة كامله شكرا لسائلك هاذا من لطفك
      ظننت اني العربي الوحيد الذي يتابع هاذه القنات 😅

    • @حامدعبدالفتاح-ت1ض
      @حامدعبدالفتاح-ت1ض 6 місяців тому

      ​@@multimeme5935
      لقد حصلت على العلامة الكاملة شكراً لسائلك
      هاذا من لطفك .
      ظننت اني الشخص العربي الوحيد الذي يتابع هاذه القنات😅

    • @حامدعبدالفتاح-ص2ف
      @حامدعبدالفتاح-ص2ف 6 місяців тому

      ​@@multimeme5935
      حصلت على العلامت الكاملة شكرا لسائلك هاذا من لطفك .
      ظننت اني العربي الوحيد الذي يتابع هاذه القنات

    • @حامدعبدالفتاح-ت1ض
      @حامدعبدالفتاح-ت1ض 6 місяців тому +1

      @@multimeme5935
      حصلت على علامت كاملة
      شكراً لسائلك هاذا من لطفك.
      ظننت اني العربي الوحيد الذي يتابع هاذه القنات 😅

  • @Jy3388
    @Jy3388 2 роки тому

    now i know how they come up with all those formulars, thanks

  • @itsohaya4096
    @itsohaya4096 Рік тому +1

    My calc teacher just skipped over this and gave us the derivatives On a piece of paper :(((
    Thanks black pen red pen

  • @EyeSooGuy
    @EyeSooGuy 9 місяців тому

    Hey Steve! You should ELI5 on what analytic geometry and analytic trigonometry are.

  • @ابولفضلجهانی-ص2و

    very cute explanation 🤩

  • @danieltambunan9717
    @danieltambunan9717 2 роки тому +1

    9:53 i dont understand why the angel is sin^-1 (x) . Any one can explain?

    • @hydropage2855
      @hydropage2855 2 роки тому +3

      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

    • @danieltambunan9717
      @danieltambunan9717 2 роки тому

      @@hydropage2855 OH YEAH YOU'RE RIGHT. Hahaha i was just so confuse with myself

  • @OllorJohn-kr7so
    @OllorJohn-kr7so Рік тому

    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

  • @DersoEyayaw
    @DersoEyayaw Місяць тому

    Thanks lecturer, let's to make integration of inverse hyperbolic & trigonometry function?

  • @abdalrhmansallam3119
    @abdalrhmansallam3119 Рік тому

    He really kept holding the Pokémon ball, what a legend

  • @sarthakgupta2463
    @sarthakgupta2463 4 місяці тому

    Superb

  • @mohamedsalam5496
    @mohamedsalam5496 3 роки тому +2

    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

    • @bprpcalculusbasics
      @bprpcalculusbasics  3 роки тому +2

      Here’s a video on them ua-cam.com/video/sjlZ_KX3cqM/v-deo.html

  • @cosmicvoidtree
    @cosmicvoidtree 3 роки тому +1

    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.

  • @尻槍文
    @尻槍文 2 місяці тому

    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

  • @mccauleybacalla2228
    @mccauleybacalla2228 Рік тому +1

    thank you so much!

  • @molemo9516
    @molemo9516 2 роки тому

    Really good

  • @rajpandya3766
    @rajpandya3766 2 роки тому

    this helps so much ty

  • @boboishmael3132
    @boboishmael3132 Рік тому

    Better explanation

  • @faithwangui7200
    @faithwangui7200 Рік тому

    What is the ball for? Just curious

    • @lumina_
      @lumina_ Рік тому +1

      for style 😎

    • @brayton6683
      @brayton6683 Рік тому +1

      He's actually holding a mic 🎤

  • @miax2469
    @miax2469 2 роки тому

    Good job

  • @kshytij2066
    @kshytij2066 7 місяців тому

    you are the goat

  • @tanmaydhakate7730
    @tanmaydhakate7730 3 роки тому +1

    Thanks a lot.

  • @madhavkumar6434
    @madhavkumar6434 3 роки тому

    sir I love you soooo much❤️

  • @SintayehuSiraye-pf8gh
    @SintayehuSiraye-pf8gh Рік тому +1

    thanks bro

  • @user-wu8yq1rb9t
    @user-wu8yq1rb9t 3 роки тому +1

    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

  • @mrsabraattiaselim5334
    @mrsabraattiaselim5334 Рік тому

    thanks a lot

  • @Jose_814
    @Jose_814 3 місяці тому

    i love you asian teacher

  • @JuanConsuegra-dw3ie
    @JuanConsuegra-dw3ie Рік тому

    Amazing

  • @engyanwer6770
    @engyanwer6770 2 роки тому

    perfect👌🏻

  • @litsepisokose9897
    @litsepisokose9897 2 роки тому

    thank you

  • @t3q4wet3q4e
    @t3q4wet3q4e 11 місяців тому

    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

  • @arimermelstein9167
    @arimermelstein9167 3 роки тому

    I also immediately thought to do 1/(sec^2 y) = cos^2 y.

  • @Useruseruser888
    @Useruseruser888 6 місяців тому

    Thank You * d/dx [1Billion*x] times 😅

  • @muhammadramazanov1751
    @muhammadramazanov1751 Рік тому

    you are so handsome with this beard

  • @auxgamr111
    @auxgamr111 Рік тому

    👍👍👍

  • @Easylearning-cs3ji
    @Easylearning-cs3ji 7 місяців тому

    please cut the haire becouse frithed

  • @epsilonxyzt
    @epsilonxyzt 11 місяців тому

    Talk another language instead of english. Do you understand what you pronounce?

    • @Occ881
      @Occ881 4 місяці тому

      You're rude😢

    • @Occ881
      @Occ881 4 місяці тому

      You need to work on your grammar too😂

    • @albertglai
      @albertglai 3 місяці тому

      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.

  • @ezraclark1793
    @ezraclark1793 3 місяці тому

    thank you so much!