Implicit Differentiation Second Derivative Trig Functions & Examples- Calculus

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  • Опубліковано 10 гру 2024

КОМЕНТАРІ • 118

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  11 місяців тому +2

    Derivatives - Free Formula Sheet: bit.ly/4dThzf1
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    Calculus 1 Final Exam Review: ua-cam.com/video/WmBzmHru78w/v-deo.html

  • @junebug6885
    @junebug6885 2 роки тому +73

    thank you for single-handedly teaching me calculus, my teacher literally doesn't know how to teach and almost everyone failed the test last week but I was one of the only people who didn't fail it thanks to these videos

    • @JustWilson
      @JustWilson Рік тому +7

      My university lecturers are a joke compared to this guy so far..

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    @joshuayoo1306 2 роки тому +27

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    @samcoopermusic 4 роки тому +37

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      @MunaArachnim9606 3 роки тому

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      @samcoopermusic 3 роки тому +2

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  • @KwintenTee
    @KwintenTee 8 місяців тому +5

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  • @marathonpro92
    @marathonpro92 7 років тому +317

    This is how we push ourselves through calculus.

  • @norainnoflowers1551
    @norainnoflowers1551 5 років тому +30

    this guy always makes Chemistry and Calculus more bearable T-T god bless this person for making these vids! The breakdown he does is always awesome for my tiny brain to understand this is an enormous help for test review

  • @Godakuri
    @Godakuri 4 роки тому +31

    This is by far the hardest thing I did in my life, honestly.

  • @susanaa.6692
    @susanaa.6692 5 років тому +22

    Thank you, you're such a lifesaver! I'm confused at the part where you have to plug in the first derivative for y' and simplify it. My teacher said that if you don't know this part then you are literally "dumb" and she never showed us how to simplify it in class. I feel like I understand it much better now after watching your video.

    • @Optimistybenny687
      @Optimistybenny687 2 роки тому

      I really appreciate your efforts to make us understand be blessed

  • @BismaAbdulGhaffar-eb5ck
    @BismaAbdulGhaffar-eb5ck Рік тому +2

    Best teacher I have ever seen in my life 💖

  • @Sarah-um5mq
    @Sarah-um5mq Рік тому +1

    Thank you so much you are actually the only one who teaches me calculus from the very beginning, you are the best

  • @Jacob-wi1is
    @Jacob-wi1is 6 років тому +60

    way better than khan on this

  • @dineogee110
    @dineogee110 6 років тому +31

    Oooh damn ur good in physics, chemistry and also math ur blessed

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      @mbasakosani8386 5 років тому +1

      statistics and stocks as well

    • @nehemiascaban2461
      @nehemiascaban2461 2 роки тому

      His very underrated. I NEVER Thought he made calculus and physics and other subjects videos😵‍💫I just came bc of Organic Chemistry... but now he would be my Calculus and organic savior

  • @QtqtGaming
    @QtqtGaming 2 роки тому +8

    Thank you very much for these tutorials. Hoping for more of your helpful educational videos most specially in Physics, Chemistry and Calculus.

  • @theplasmatron3306
    @theplasmatron3306 Рік тому +1

    I like how he does the problems so preciously without rushing.

  • @nickh.44
    @nickh.44 Рік тому +1

    THANK YOU SO MUCH! i have been struggling to understand how to diiferatiate the trig functions. At 20:00 min you explained it very well!

  • @Mmoh96xo
    @Mmoh96xo 3 роки тому +1

    all my life I have HATED math. but ngl, you made this fun for me.
    thank you!

  • @aminchamkaniwal7299
    @aminchamkaniwal7299 5 років тому +5

    Great instructor God bless you and your family.

  • @nickoemmanuelvillacruz3090
    @nickoemmanuelvillacruz3090 5 років тому +2

    I wish professor teach like this no more unnecessary explanations they should be more straightforward like this

  • @GladysGraces2
    @GladysGraces2 Рік тому

    You make calculus understandable, thank you so much, and more followers for all your channels

  • @joshuafairbanks5643
    @joshuafairbanks5643 5 років тому +2

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  • @majhluooiunntahkhaanakkour7902
    @majhluooiunntahkhaanakkour7902 2 роки тому +1

    This helps me a lot in our calculus class. Thank you so much! 💖💖

  • @zibajanazizi6566
    @zibajanazizi6566 4 роки тому +2

    In one word u r lifesaver thanks 🙏

  • @umnyundeniiwundlu7269
    @umnyundeniiwundlu7269 3 роки тому +1

    you are a good lecture. we love you

  • @Soobonn
    @Soobonn 5 років тому +4

    You do a great job. However, I'm not sure how often you notice you say to use the product rule, when in fact you're using the chain rule. I've seen it on this video and one other so far. Listen to the example at about 21:30 to see if I'm missing something. Thank you again.

  • @hellenkulema5418
    @hellenkulema5418 2 роки тому

    You are heavenly sent to assist me ,....it is just wow!!! The way you do it

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    @theundilutedgospel1460 6 років тому +3

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    @r-pasamonteamiel7605 2 роки тому

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  • @detailedemoji4615
    @detailedemoji4615 3 роки тому +2

    I have the same exact question (x^3+y^3) so this was like direct tutoring!

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    @henryfayol6667 Рік тому

    This pre-calculus is fantastic

  • @AnoldMS02
    @AnoldMS02 7 місяців тому

    This channel is the best.

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    @marcusmoulia639 2 роки тому

    another great video from this guy! kudos to you bud

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    @occurlgordon5843 Рік тому

    Other than being a maths genius,the fact that none of you are mentioning the voice of this guy still baffles me.

  • @chadjensenster
    @chadjensenster 7 років тому +5

    @ 5:17 shouldn't you have cancelled the y^2 in both terms since they are added? so you would get (2xy+2x^2)(-x^2/y) or am I thinking wrong?
    Thank you for the awesome vids! keep it up and I hope you earn some cash doing it as more of an incentive to keep at it.

  • @eikoGoldstein
    @eikoGoldstein 7 місяців тому

    Note that the term, dx/dx, "cancels" and seemingly disappears(@1:20) from our computation. However absent from the page, its prior appearance is merely hidden, or implied...thus implicit differentiation. We must make apparent, or explicit, dy/dx when working with a second variable, such as y. Thus, explicit differentiation. Please correct me if I am in error. Thanks.

  • @akhimienclement9134
    @akhimienclement9134 Рік тому

    Thanks I passed my Exam 👍👍

  • @janaranjania2537
    @janaranjania2537 4 роки тому +1

    Thanks a lot frd👍👍👍🥰

  • @LabRynthisist
    @LabRynthisist 2 роки тому +1

    "If you wanna find the devivaviv..." sorry man, you are making this topic easier and at the same time funnier cause of how you pronounce derivative

  • @prathamshukla6614
    @prathamshukla6614 7 років тому +2

    Thanks a lot man, it helped me a lot

  • @loveanimals358
    @loveanimals358 5 років тому +4

    THANK YOU SOOOO MUCHHHH UGHH💖💖

  • @kgaokgao595
    @kgaokgao595 Рік тому

    Believe me i am going to nail the test on Friday

  • @lj54
    @lj54 8 років тому +1

    Another awesome video! Thank you!

  • @MyMinecrafter97
    @MyMinecrafter97 8 років тому +3

    will you go over things like partial integration or even differential equations

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    @thobangwelucky7027 3 роки тому

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  • @davidseed2939
    @davidseed2939 4 роки тому

    are you ever required to substitute y into the soln hence at 19:00
    y’ =9/sqrt(x) -1 instead of sqrt(y/x)

  • @nessundorma4510
    @nessundorma4510 6 років тому +1

    wow you are good Mr i do appreciate your help thanks

    • @dzangam1879
      @dzangam1879 6 років тому

      Mulaudzi . Which part of the world are you from ?😅😅😅

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      @nessundorma4510 6 років тому

      limpopo and you?

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      @dzangam1879 6 років тому

      I'm also from there☝😅😅
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    • @nessundorma4510
      @nessundorma4510 6 років тому

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      @dzangam1879 6 років тому

      UCT 1st Year

  • @aphelmusonda5253
    @aphelmusonda5253 2 роки тому

    our proff. thenk you

  • @acryliceel
    @acryliceel 2 роки тому

    Thank you for everything!!

  • @LabRynthisist
    @LabRynthisist 2 роки тому +1

    why do we need to write the dy/dx again in 8:28?

  • @ahmedaldulaimi2482
    @ahmedaldulaimi2482 4 роки тому +2

    Thank you very much for this simple explanation, but I have a question if I can shorten between 2x / y ^ 2 * y ^ 2 from where y came to multiply the numerator and denominator * y

    • @itzzdynamo1655
      @itzzdynamo1655 3 роки тому

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      و اعرف ان ردي متاخر جدا بس يله 😂😂😂

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    @kadraabdoulkader8033 2 роки тому

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  • @prashantdubey9430
    @prashantdubey9430 4 роки тому

    first 90 seconds is all i needed....

  • @henrywho4331
    @henrywho4331 Рік тому

    I genuinely hope that only good, amazing and wonderful things happen to you. You are my hero

  • @Amusing353
    @Amusing353 3 роки тому +2

    I'm quite mad that he was not able to continue working on the problem at 12:17

  • @rodrigofrias2324
    @rodrigofrias2324 6 років тому +2

    This is great

  • @paulmcnamara9296
    @paulmcnamara9296 Місяць тому

    If we get a negative value for x in the numerator can we multiply above and below by negative 1 to get a positive

  • @nathanq5034
    @nathanq5034 3 роки тому

    at 4:58 why did he replace dy/dx with -x^2/y^2? I'm so confused there

  • @maryamalhumaidi
    @maryamalhumaidi 3 роки тому

    I understood the whole thing except the last problem 🥲

    • @drofeng
      @drofeng 2 роки тому

      Use the chain rule
      d[ sin(x+y) ] /dx
      Let w = sin(u) where u = x+y
      Then dw/dx = dw/du du/dx = cos(u) * [ 1 + dy/dx ] = cos(x+y) * (1+dy/dx)

  • @faithchidogarikayi43
    @faithchidogarikayi43 4 роки тому +1

    Sir please can you workout this math for me. DY/DX of 1/2πr(96-r^)

  • @ibandajoel9608
    @ibandajoel9608 3 роки тому

    Great job

  • @prodLUDO
    @prodLUDO 3 роки тому +1

    What would the world be without JG

  • @MarthaLungu-h7k
    @MarthaLungu-h7k 2 місяці тому

    🎉 excellent

  • @Antimatter050
    @Antimatter050 4 роки тому +1

    12:35 Yeah I see what you mean lol after simplifying it.

  • @devondevon4366
    @devondevon4366 4 роки тому

    2y dy/dx for y^2 with respect to x

  • @kaye7380
    @kaye7380 2 роки тому

    excuse me sir... just asking about equation no.2 in which x^3 - xy + y^2 = 4 is derived to 3x^2 - y - x(dy/dx) + 2y(dy/dx) = 0 and the dy/dx are isolated, why is that it became 2y(dy/dx) - x(dy/dx) = y - 3x^2? why is that you switched both terms on both sides instead of -x(dy/dx) + 2y(dy/dx) = -3x^2 + y?

    • @ranyaelleithy1817
      @ranyaelleithy1817 2 роки тому

      he made it only to have the positive side/terms first then the negative side/terms the second. For simplicity. But in all cases it will not differ. The result will be the same

  • @anonymoususer363
    @anonymoususer363 Рік тому

    Thank you !!

  • @faw3162
    @faw3162 4 роки тому

    Is it permissible to use negative exponents on the fraction, then use the product rule instead of the quotient rule?

  • @aram5642
    @aram5642 3 роки тому

    The term implicit differentiation somehow doesn't click with me. Implicit for me is dx/dx which usually is omitted. But dy/dx looks very explicit :)

  • @zerowolf137
    @zerowolf137 2 роки тому

    How do you know which side to leave dy/dx?

  • @mesquitesmoked7274
    @mesquitesmoked7274 3 роки тому

    you're my idol

  • @henrywho4331
    @henrywho4331 Рік тому

    i love you so much

  • @GreatGamblingGuru
    @GreatGamblingGuru 7 років тому

    Thank you👊

  • @horlams1992
    @horlams1992 5 років тому

    great guy

  • @sixabb9832
    @sixabb9832 5 років тому

    Why do we find the second derivative?

  • @MartinChola-js4gd
    @MartinChola-js4gd Рік тому

    But the power does not attached to y

  • @derrick8044
    @derrick8044 4 роки тому

    21:00

  • @clementnkamba4121
    @clementnkamba4121 2 роки тому

    I just want to see you one day...

  • @lightonmonday5086
    @lightonmonday5086 2 роки тому

    I was once in this class

  • @therealnickmeredith
    @therealnickmeredith 5 років тому +1

    OMG!!!! too many commercials!!!!

  • @17CarlAndreiEnrico
    @17CarlAndreiEnrico 3 роки тому

    it was a good tutorial.. unfortunately.... during the triginometric part... he wasn't able to take the second derivative

  • @ghsjgsjg53chjdkhjydhdkhfmh74
    @ghsjgsjg53chjdkhjydhdkhfmh74 5 років тому +1

    28:54

  • @ampslynnet9658
    @ampslynnet9658 3 роки тому

    shout out to JG

  • @fatimasaleh6763
    @fatimasaleh6763 7 років тому

    Great

  • @aiantingson1573
    @aiantingson1573 4 роки тому

    Padayun bogoon!

  • @SatishNatarajan
    @SatishNatarajan 7 років тому

    Thank you

  • @cabreraricky5365
    @cabreraricky5365 3 роки тому

    masarap.

  • @aashsyed1277
    @aashsyed1277 3 роки тому

    U r fuss.