Derivatives of Inverse Trigonometric Functions

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  • Опубліковано 23 січ 2025

КОМЕНТАРІ • 151

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +14

    Derivatives - Free Formula Sheet: bit.ly/4dThzf1
    Derivatives - Video Lessons: www.video-tutor.net/derivatives.html

  • @ThEwAtErGiRl4LiFe
    @ThEwAtErGiRl4LiFe 5 років тому +891

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    @minatothefourth6562 3 роки тому +208

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      @arnie_worldwide 8 місяців тому +5

      Been there

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      @mustardgas4000 4 місяці тому +12

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    • @greatosawe8654
      @greatosawe8654 3 місяці тому +2

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      It’s under physics playlist

    • @nav26171
      @nav26171 2 місяці тому

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  • @ladyfourth6173
    @ladyfourth6173 2 роки тому +75

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  • @anonymous-zf1qm
    @anonymous-zf1qm 3 роки тому +497

    "If you know the formula, life is easy"
    -The Organic Chemistry Tutor 2018

  • @yousifsarhan8796
    @yousifsarhan8796 7 місяців тому +19

    The way he said " if you know the formula , life is easy !" is extremely satisfying

  • @chwww87
    @chwww87 2 роки тому +29

    this guy literally my physic/chemistry/calculus teacher

  • @lyndseystrait1513
    @lyndseystrait1513 Рік тому +16

    Pause at the following timestamps to see the entire problems worked out
    1:15 Sin inverse end of problem, 2:17 Cos Inverse end of problem, 3:49 Tan inverse start & 4:33 " end of problem, and 5:55 Secant Inverse end of problem.

  • @Spirit4315
    @Spirit4315 4 роки тому +17

    You make it more understandable than other videos

  • @faisalmohamed4595
    @faisalmohamed4595 Рік тому +17

    0:18 life is easy only with you my boy

  • @hoonjjwehope6137
    @hoonjjwehope6137 4 роки тому +42

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      @hoonjjwehope6137 4 роки тому +13

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    • @sydneymmeka3126
      @sydneymmeka3126 2 роки тому +5

      Don't we all have exams tomorrow 😭

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      @hoonjjwehope6137 2 роки тому +4

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  • @sp0223
    @sp0223 2 роки тому +32

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      @Burak-fr2wr Рік тому +1

      Bro What are the other sources you use for the passing exams like youtube channels or websites ...

  • @georgesadler7830
    @georgesadler7830 2 роки тому +10

    MR. Organic Chemistry Tutor, thank you for another fantastic video/lecture on the Derivative of Inverse Trigonometric Functions in Calculus. There are multiple ways to take the derivative of Inverse Trigonometric Functions. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.

  • @layanq9395
    @layanq9395 4 роки тому +7

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  • @huffpuff6336
    @huffpuff6336 3 роки тому +19

    I like how I wasn't the only who had some sort of internal connection when he said, "If you know the formula, life is easy."

  • @atecza018
    @atecza018 9 місяців тому +1

    Being a STEM student its hard to overcome the 4 major subs in calculations include ( chem2,physics2,basic cal, and the business math)
    Thank you so much because of you, you really a help for us❤

  • @berniemaesebalda1555
    @berniemaesebalda1555 Рік тому

    my textbook and professor teach us the hardest way of doing this, thank you so much

  • @pursuitforspeed
    @pursuitforspeed 6 місяців тому

    I have to say. I really appreciate the effort you put into these videos.
    Everything I search for, your channel usually comes up first, and if it doesn't, you've still done a video on it.

  • @SbongakonkeZondi-f5q
    @SbongakonkeZondi-f5q 6 місяців тому

    if you could see how I'm smiling because I finally understand this topic. You are really Einstens child. Thank you!

  • @hologaster
    @hologaster Рік тому +2

    This guy single handly saved me a lot of headache from calculus.

  • @ombresdelbarrio5611
    @ombresdelbarrio5611 6 років тому +17

    You saved my ass so many times already, thank you!!!! :D

  • @makennarain4192
    @makennarain4192 4 роки тому +4

    thank you for saving my grade

  • @JustBaileey
    @JustBaileey 5 місяців тому

    I was told something along the lines of differentiating the original function as normal and then dividing by 1, using the sin^2(x)+cos^2(x)=1 identity, to substitute for the trig function. This formula makes so much more sense!!

  • @Sykoシ
    @Sykoシ Рік тому

    U are the best teacher i ever seen ❤️

  • @poshfluxbeats9722
    @poshfluxbeats9722 7 років тому +12

    Nice video on making us understand this concept of trigonometry.. thanks😊👍

  • @celineal-bukhari4809
    @celineal-bukhari4809 2 роки тому +11

    I love to practice math on your videos,and still wonder why the channel called organic chemistry 😂

  • @Sir_oleks
    @Sir_oleks 3 роки тому +5

    Yes! If you know the formula, life is easy 😊💙

  • @manishapahari7097
    @manishapahari7097 8 місяців тому

    the explanation is concise, easy to understand. thanks for the video.

  • @drealslimshady
    @drealslimshady 4 роки тому +48

    "if you know the formula, life is easy"
    skfksdklkkkkf

  • @crazyjulianos9967
    @crazyjulianos9967 3 роки тому +1

    This guys gonna help me pass calculus

  • @SidIndian082
    @SidIndian082 2 роки тому

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  • @hilarious_memes-c1d
    @hilarious_memes-c1d 3 роки тому

    Broh you're King of maths👑🙌❤️

  • @hadialgafary4587
    @hadialgafary4587 Рік тому

    You are saving my life since u was in high school 🫡❤

  • @sahildhindsa8763
    @sahildhindsa8763 2 роки тому +1

    I just subscribed. God bless you.. please keep uploading with more examples and practice

  • @abdikariimabdinuur6956
    @abdikariimabdinuur6956 4 роки тому +3

    Honestly you make sense go forword yo deserve nobal price

  • @theuberman7170
    @theuberman7170 4 роки тому +2

    You are an angel.

  • @centroidengineering
    @centroidengineering 2 роки тому +1

    Bro I never followed this system in inverse calc. This is very very easier than replacement method

  • @cetinz4848
    @cetinz4848 4 роки тому +1

    Honestly your a god man. Your the realest

  • @joachimbushelli1375
    @joachimbushelli1375 2 місяці тому

    Great Video, super helpful.

  • @anonymous-zf1qm
    @anonymous-zf1qm 3 роки тому +10

    This just sums up the 1 hour lecture of my prof lol

  • @enma4010
    @enma4010 3 роки тому

    You are a life saver

  • @Pistachi
    @Pistachi 4 роки тому +1

    you're the real OG

  • @WTFLegacys
    @WTFLegacys 2 роки тому +1

    at 4:14 when you multiply the top and bottom by sqrt x. Why does the sqrt x not also apply to (1+x)? You only multiply it by a portion of the denominator?

    • @sabeehamalikah9322
      @sabeehamalikah9322 2 роки тому

      since the 2 terms in the denominator are not being added or subtracted, distributive property does not apply here. instead all the 3 terms are being multiplied: (1+x)(2√x)(√x) so you can multiply any 2 together first and then multiply that answer by the other term.
      hope that made sense :)

  • @AJ-et3vf
    @AJ-et3vf Рік тому

    Great video. Thank you

  • @stariesilver6327
    @stariesilver6327 2 роки тому

    saved my life thx

  • @Joppe253
    @Joppe253 5 місяців тому +2

    I'm confused, you say the derivative of Sin-1 (u) = u'/(sqrt1-u^2), but everywhere else I look it says 1/(sqrt1-u^2). Now that I think of it, is it because most "general rule" explanations talk about Sin-1 (x) and the derivative of x is just 1? Seems like a pretty big oversight not to mention that the 1 value changes if there's more than just x

    • @vaughncognito
      @vaughncognito Місяць тому +1

      Its just 1/(sqrt1-u^2) and not u'

    • @tylerduncan5908
      @tylerduncan5908 Місяць тому

      Correct.

    • @Joppe253
      @Joppe253 Місяць тому

      @@vaughncognito thanks for clearing that up

    • @epikbaconb9780
      @epikbaconb9780 Місяць тому

      I think it's because sin^-1 (x)=
      u=x
      u'=1
      1/√1-x²
      But I'm stupid sometimes so I don't know

  • @kellyzhou27
    @kellyzhou27 2 роки тому +1

    bro teaches so much better than my prof

  • @0mar1948
    @0mar1948 2 роки тому

    I'm subscribing

  • @thatomofolo452
    @thatomofolo452 Рік тому

    Awesomeness 👍👍😃

  • @Sarah._.s889
    @Sarah._.s889 7 місяців тому

    Thank you so much ❤

  • @jordanharrison3995
    @jordanharrison3995 Рік тому

    I love this man

  • @zoejoyluma-as8367
    @zoejoyluma-as8367 3 роки тому +2

    why it doesn't have square root 3:36

  • @iambasilah
    @iambasilah 8 місяців тому

    good eve, i've noticed in question number 2, should it be -5/ 1+(5x-9)²? I've searched it on google and the derivative formula for arccot doesn't have square root sign on it. Hoping to make things clear 😅

  • @ElifArslan-l9g
    @ElifArslan-l9g 4 роки тому +1

    thank you

  • @OneBallRyan
    @OneBallRyan Рік тому

    But why are those the formulas for inverse sin, cos and tan? I know they can be derived from right triangle trig but I am unsure as to how

  • @arslanahmad5500
    @arslanahmad5500 2 роки тому

    you able me to solve question thanks

  • @justcallmemink5585
    @justcallmemink5585 2 місяці тому

    Would the answer be to the first one be 3x^2/square root (1-x^6)?

  • @voodooblue6162
    @voodooblue6162 3 роки тому

    Do I need to know where they came from or am I better off memorizing the formulas?

  • @chanteinge9027
    @chanteinge9027 2 роки тому

    This safed my sanity

  • @michaels333
    @michaels333 Рік тому

    Hey! Great video! Why did you put about the absolute values on the X and the secant example? I do not think they are necessary, in fact, it would be wrong to add them back- thoughts?

    • @jdstar
      @jdstar Рік тому +1

      The absolute value signs are there, since the domain of some inverse trig functions have a restricted domain and range, where they have to be positive; hence the absolute values.

  • @_kkikkii._
    @_kkikkii._ Рік тому

    X^(4)^2 is 8??
    I thought it had be 16??
    Time @ 5:47

  • @quadirbaniameen7786
    @quadirbaniameen7786 Рік тому

    Isnt the formula for the arc si of x is 1/sqr rt of 1-x squared..?

  • @hooton11
    @hooton11 5 років тому +6

    Hoping to improve my math skill any advice from you?

    • @edwardduda4222
      @edwardduda4222 4 роки тому +3

      Do a million practice problems but don't trust the answer key, use www.integral-calculator.com/ and www.derivative-calculator.net/ to check your answers because sometimes they're wrong if they're in a textbook. Plus they show steps.

  • @zartajreem3202
    @zartajreem3202 10 місяців тому

    you are best

  • @Fahad-cm2cl
    @Fahad-cm2cl Рік тому +1

    May God guide you to Islam because I love you very much, and this is the most thing I can give you as a reward for your explaining to me.

  • @vaderanomaly1573
    @vaderanomaly1573 5 років тому +9

    Ok why is that im told to put 1 instead of u^1 on the denominator? Thats what we do in class.

    • @mutaeb197
      @mutaeb197 5 років тому

      Same here

    • @lyebeezy
      @lyebeezy 5 років тому +3

      numerator but yea

    • @jacknguyen374
      @jacknguyen374 5 років тому

      Your multiplying 1/sqrt(1-x^2) by the derivative of x. The derivative of x is just 1 so that's why it shows just a 1 in the numerator. In the video, he put x prime in the numerator because 1/(sqrt(1-x^2) * d/dx(x) is x'/sqrt(1-x^2)

    • @xia9630
      @xia9630 Рік тому

      Same question

  • @carolineguerra7655
    @carolineguerra7655 2 роки тому

    ur the best

  • @marcelinafrancisco9936
    @marcelinafrancisco9936 4 роки тому +2

    Hi, I just have a question in 4:36 can the answer be the square root of x / 2x+2x^2

    • @wick3343
      @wick3343 4 роки тому +2

      Yes, they're the same thing. You just multiplied 2x with the (1+x). So it doesn't make any difference and is 100% correct.

  • @Sarah._.s889
    @Sarah._.s889 7 місяців тому

    Can you do one for cosec and cot please 🙏

  • @cat4890
    @cat4890 3 роки тому +1

    In my textbook it is
    1/1-u² then multiply u¹

  • @bemshii28
    @bemshii28 10 місяців тому

    I'm confused. Help me😅. In our lesson, the derivative of arcsinu is (1/√1-u^2) • d/dx(u). Even if the u=3x, the numerator remains 1 at the top,like help me understand😅.

    • @itsmeuno1817
      @itsmeuno1817 9 місяців тому +1

      it is still actually the same because you will still multiply the d/dx(u) to the numerator of the formula, he just made it into u^1 just to be quick

    • @bemshii28
      @bemshii28 9 місяців тому +1

      @@itsmeuno1817 gotcha,thanks!💖

  • @samiulislamdurjoy
    @samiulislamdurjoy 4 роки тому

    G 160 0:01

  • @stevensub8084
    @stevensub8084 5 років тому +1

    How can I find the derivative of h(t) =sin ( arccos(t) ) ?

  • @mohammadelayyan6887
    @mohammadelayyan6887 2 роки тому

    If I pass im definitely donating

  • @yonelamndaweni2837
    @yonelamndaweni2837 4 роки тому

    How do I solve cosec^_1(secx^3)

  • @scitwi9164
    @scitwi9164 6 років тому +2

    00:27 And this is because? :q

    • @vassphire8522
      @vassphire8522 6 років тому

      Math...

    • @allanispersaud7149
      @allanispersaud7149 5 років тому +2

      If you differentiated with the chain rule that's the format you'd get your answer in. Someone noticed the pattern and formulated the formulas

  • @simplyydee
    @simplyydee 10 місяців тому

    what about cot and csc?

    • @itsmeuno1817
      @itsmeuno1817 9 місяців тому +2

      cot is u^1/1+u^2 and for csc is -1/u rad u^2-1

  • @AliHassan-hb1bn
    @AliHassan-hb1bn 3 роки тому

    I would recommend every one come here

  • @ЕвгенияЛысенко-у4н

    Strange.. My book says that D f^-1 (y ) = 1/ (D (f(x))).. Did I miss smth ?😳🙄

  • @NicKenMic
    @NicKenMic 9 місяців тому

    I LOVE YOUUUUUUU

  • @bobaprakash8905
    @bobaprakash8905 Рік тому

    But according to LIATE rule. Exponent has last preference.

  • @BensonZhang-i1s
    @BensonZhang-i1s 3 місяці тому

    what a goat bro

  • @teekay3747
    @teekay3747 Рік тому

    I gotta memorise all these formulas😭

  • @fatcammal
    @fatcammal 7 років тому +3

    ur a god

  • @ZaribRazvi
    @ZaribRazvi 2 місяці тому

    thank you bbg

  • @aakashodh118
    @aakashodh118 2 роки тому

    If You KNOW the FORMULA; LIFE is EASY! 👍🏻🔥🔥

  • @mageshwarr880
    @mageshwarr880 2 роки тому

    If u kniw the formula life is easy☺️

  • @matthewkoob7600
    @matthewkoob7600 2 роки тому

    What a god.

  • @maktraherniqqeeer
    @maktraherniqqeeer Рік тому

    MATE, I FUCKING LOVE YOU!

  • @mizlolia
    @mizlolia 2 роки тому

    Step 1, know the formula☺

  • @Kervvy
    @Kervvy 3 роки тому

    bro my final exam is in 5 hours 💀

  • @samayadvani9259
    @samayadvani9259 3 місяці тому

    GOATTTTT!!!!!

  • @ClippyDuck
    @ClippyDuck 4 роки тому

    Man I nedd you to be my teacher

  • @lusianelundu2702
    @lusianelundu2702 Рік тому

    ❤❤❤❤❤

  • @Proximadelta_and_ScampiLion

    kahn academy is getting this wrong idk what to do

  • @wolfgangpauli4489
    @wolfgangpauli4489 10 місяців тому

    It is better to write arcsin, arccos, arctan, and so on. That is the way it is done in all non-English speaking countries. Using this aforementioned notation is completely unambiguous.

    • @chrollolucilfer7694
      @chrollolucilfer7694 10 місяців тому +2

      Bro it dont matter that much people will realize they can just write as you said and it’s the same thing😭

  • @thomasplatt7329
    @thomasplatt7329 Рік тому

    i know the formula, but life ain't easy. RIP

  • @pranjalsharma5308
    @pranjalsharma5308 5 місяців тому

    So its log type of shit cool

  • @tttuncer.
    @tttuncer. Місяць тому

    Çü ye selamlar