100 calculus derivatives (ultimate derivative tutorial)

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  • @VibingMath
    @VibingMath 5 ปีที่แล้ว +8382

    Thank you very much for your effort bprp! This video is also valuable for high school/college level. Sure I will share this with my students! Time stamp as below for those needed:
    100 Derivatives
    Q1, 3:51, d/dx ax^+bx+c
    Q2, 5:18, d/dx sinx/(1+cosx)
    Q3, 8:31, d/dx (1+cosx)/sinx
    Q4, 11:21, d/dx sqrt(3x+1)
    Q5, 13:19, d/dx sin^3(x)+sin(x^3)
    Q6, 16:48, d/dx 1/x^4
    Q7, 18:53, d/dx (1+cotx)^3
    Q8, 21:03, d/dx x^2(2x^3+1)^10
    Q9, 28:39, d/dx x/(x^2+1)^2
    Q10, 34:37, d/dx 20/(1+5e^-2x)
    Q11, 38:10, d/dx sqrt(e^x)+e^sqrt(x)
    Q12, 41:27, d/dx sec^3(2x)
    Q13, 43:57, d/dx 1/2 (secx)(tanx) + 1/2 ln(secx + tanx)
    Q14, 52:31, d/dx (xe^x)/(1+e^x)
    Q15, 56:26, d/dx (e^4x)(cos(x/2))
    Q16, 1:00:05, d/dx 1/4th root(x^3 - 2)
    Q17, 1:04:04, d/dx arctan(sqrt(x^2-1))
    Q18, 1:07:31, d/dx (lnx)/x^3
    Q19, 1:10:25, d/dx x^x
    Q20, 1:14:46, find dy/dx for x^3+y^3=6xy
    Q21, 1:21:35, find dy/dx for ysiny = xsinx
    Q22, 1:24:22, find dy/dx for ln(x/y) = e^(xy^3)
    Q23, 1:30:45, find dy/dx for x=sec(y)
    Q24, 1:35:59, find dy/dx for (x-y)^2 = sinx + siny
    Q25, 1:40:16, find dy/dx for x^y = y^x
    Q26, 1:46:31, find dy/dx for arctan(x^2y) = x+y^3
    Q27, 1:54:43, find dy/dx for x^2/(x^2-y^2) = 3y
    Q28, 1:58:03, find dy/dx for e^(x/y) = x + y^2
    Q29, 2:03:46, find dy/dx for (x^2 + y^2 - 1)^3 = y
    Q30, 2:06:51, find d^2y/dx^2 for 9x^2 + y^2 = 9
    Q31, 2:17:01, d^2/dx^2(1/9 sec(3x))
    Q32, 2:21:35, d^2/dx^2 (x+1)/sqrt(x)
    Q33, 2:26:33, d^2/dx^2 arcsin(x^2)
    Q34, 2:32:04, d^2/dx^2 1/(1+cosx)
    Q35, 2:36:57, d^2/dx^2 (x)arctan(x)
    Q36, 2:39:49, d^2/dx^2 x^4 lnx
    Q37, 2:42:34, d^2/dx^2 e^(-x^2)
    Q38, 2:45:02, d^2/dx^2 cos(lnx)
    Q39, 2:47:44, d^2/dx^2 ln(cosx)
    Q40, 2:48:52, d/dx sqrt(1-x^2) + (x)(arcsinx)
    Q41, 2:51:48, d/dx (x)sqrt(4-x^2)
    Q42, 2:54:34, d/dx sqrt(x^2-1)/x
    Q43, 2:56:34, d/dx x/sqrt(x^2-1)
    Q44, 2:59:03, d/dx cos(arcsinx)
    Q45, 2:59:56, d/dx ln(x^2 + 3x + 5)
    Q46, 3:01:24, d/dx (arctan(4x))^2
    Q47, 3:03:35, d/dx cubert(x^2)
    Q48, 3:04:50, d/dx sin(sqrt(x) lnx)
    Q49, 3:07:56, d/dx csc(x^2)
    Q50, 3:08:50, d/dx (x^2-1)/lnx
    Q51, 3:11:16, d/dx 10^x
    Q52, 3:13:08, d/dx cubert(x+(lnx)^2)
    Q53, 3:17:07, d/dx x^(3/4) - 2x^(1/4)
    Q54, 3:19:54, d/dx log(base 2, (x sqrt(1+x^2))
    Q55, 3:26:39, d/dx (x-1)/(x^2-x+1)
    Q56, 3:29:28, d/dx 1/3 cos^3x - cosx
    Q57, 3:32:08, d/dx e^(xcosx)
    Q58, 3:33:55, d/dx (x-sqrt(x))(x+sqrt(x))
    Q59, 3:34:40, d/dx arccot(1/x)
    Q60, 3:37:50, d/dx (x)(arctanx) - ln(sqrt(x^2+1))
    Q61, 3:42:22, d/dx (x)(sqrt(1-x^2))/2 + (arcsinx)/2
    Q62, 3:47:30, d/dx (sinx-cosx)(sinx+cosx)
    Q63, 3:52:45, d/dx 4x^2(2x^3 - 5x^2)
    Q64, 3:55:06, d/dx (sqrtx)(4-x^2)
    Q65, 3:57:27, d/dx sqrt((1+x)/(1-x))
    Q66, 4:01:40, d/dx sin(sinx)
    Q67, 4:03:00, d/dx (1+e^2x)/(1-e^2x)
    Q68, 4:06:18, d/dx [x/(1+lnx)]
    Q69, 4:08:19, d/dx x^(x/lnx)
    Q70, 4:10:04, d/dx ln[sqrt((x^2-1)/(x^2+1))]
    Q71, 4:13:43, d/dx arctan(2x+3)
    Q72, 4:15:55, d/dx cot^4(2x)
    Q73, 4:17:47, d/dx (x^2)/(1+1/x)
    Q74, 4:20:44, d/dx e^(x/(1+x^2))
    Q75, 4:23:13, d/dx (arcsinx)^3
    Q76, 4:24:42, d/dx 1/2 sec^2(x) - ln(secx)
    Q77, 4:27:08, d/dx ln(ln(lnx)))
    Q78, 4:28:51, d/dx pi^3
    Q79, 4:34:04, d/dx ln[x+sqrt(1+x^2)]
    Q80, 4:37:52, d/dx arcsinh(x)
    Q81, 4:46:55, d/dx e^x sinhx
    Q82, 4:48:38, d/dx sech(1/x)
    Q83, 4:52:51, d/dx cosh(lnx))
    Q84, 4:56:21, d/dx ln(coshx)
    Q85, 4:57:36, d/dx sinhx/(1+coshx)
    Q86, 5:00:35, d/dx arctanh(cosx)
    Q87, 5:03:54, d/dx (x)(arctanhx)+ln(sqrt(1-x^2))
    Q88, 5:07:23, d/dx arcsinh(tanx)
    Q89, 5:10:39, d/dx arcsin(tanhx)
    Q90, 5:12:32, d/dx (tanhx)/(1-x^2)
    Q91, 5:14:58, d/dx x^3, definition of derivative
    Q92, 5:20:41, d/dx sqrt(3x+1), definition of derivative
    Q93, 5:26:16, d/dx 1/(2x+5), definition of derivative
    Q94, 5:31:18, d/dx 1/x^2, definition of derivative
    Q95, 5:35:34, d/dx sinx, definition of derivative
    Q96, 5:44:06, d/dx secx, definition of derivative
    Q97, 5:54:41, d/dx arcsinx, definition of derivative
    Q98, 6:13:26, d/dx arctanx, definition of derivative
    Q99, 6:18:35, d/dx f(x)g(x), definition of derivative
    Q100, 6:24:57, d/dx f(x)/g(x), definition of derivative
    Q101, 6:33:44, d/dx tetration of x (i.e. x^x^x)
    YAY!

  • @blue-iu7hv
    @blue-iu7hv 4 ปีที่แล้ว +3146

    All of you educational youtubers are honestly the backbone of online learning this pandemic 😭😭 thanks a lot!

    • @VndNvwYvvSvv
      @VndNvwYvvSvv 3 ปีที่แล้ว +7

      As it turns out, it isn't one, but they're definitely doing a better job of online teaching. TLA Vagabond, Luke Rudkowski, Del Bigtree and other actually independent journalists are attacked by state- and statist-run propaganda for a reason. ;)

    • @Crabby.1
      @Crabby.1 3 ปีที่แล้ว +2

      Online is better than irl school

    • @study877
      @study877 2 ปีที่แล้ว +2

      @@Crabby.1 not if you actually want to learn

    • @Crabby.1
      @Crabby.1 2 ปีที่แล้ว

      @@study877 what??? So you don't have a brain ??

    • @Crabby.1
      @Crabby.1 2 ปีที่แล้ว +6

      @@study877 you don't need to go to school to learn anything .. the internet is here

  • @spiderjerusalem4009
    @spiderjerusalem4009 5 ปีที่แล้ว +9541

    "Fear no man who does 100 derivatives, but a man who does 1 derivative for 100 times" ~ bruce lee

    • @NguyenDuy-jd6sm
      @NguyenDuy-jd6sm 5 ปีที่แล้ว +57

      hahaha lol !

    • @johndue8458
      @johndue8458 5 ปีที่แล้ว +78

      Your comment is underrated af, good one😂

    • @austinmburia9939
      @austinmburia9939 5 ปีที่แล้ว +254

      e^x

    • @海豚ちゃん-n6h
      @海豚ちゃん-n6h 5 ปีที่แล้ว +14

      Thanos Becomes Darkseid I had to like ur comment because it was at 666

    • @maxzak5169
      @maxzak5169 5 ปีที่แล้ว +5

      @@austinmburia9939 xD

  • @nutmaster652
    @nutmaster652 3 ปีที่แล้ว +2507

    I don’t even do math or calculus or whatever but seeing this dude so passionate about teaching kids just made my day. we need more teachers like him (:

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว +243

      Thanks

    • @mannyheffley4085
      @mannyheffley4085 3 ปีที่แล้ว +27

      "nut master"

    • @ekmotahaathiworkout4349
      @ekmotahaathiworkout4349 3 ปีที่แล้ว +43

      @@blackpenredpen my man really replied after 2 years lol

    • @hydropage2855
      @hydropage2855 3 ปีที่แล้ว +56

      I assure you they’re not kids he’s teaching

    • @santiago4444
      @santiago4444 3 ปีที่แล้ว +7

      @@hydropage2855 a kid learning this, lmao

  • @rekiplay0063
    @rekiplay0063 5 ปีที่แล้ว +8171

    i'm more surpised by the fact that he has been holding that microphone for almost 7 hours stright

    • @IStMl
      @IStMl 5 ปีที่แล้ว +273

      Same, his arm must be dead

    • @VndNvwYvvSvv
      @VndNvwYvvSvv 5 ปีที่แล้ว +57

      Can't believe he doesn't get a coupon or something

    • @user-sn6ve1ci2h
      @user-sn6ve1ci2h 4 ปีที่แล้ว +259

      He stopped holding it for a moment at 4:30:39

    • @vinodkumarchauhan327
      @vinodkumarchauhan327 4 ปีที่แล้ว +7

      Great man

    • @7Strigiformes
      @7Strigiformes 4 ปีที่แล้ว +2

      Same here... 🙆‍♀

  • @yasinmalik7038
    @yasinmalik7038 3 ปีที่แล้ว +465

    I became expert in derivative calculus after solving continuous 100 problems a lot of respect from the bottom of my heart.I wish I could like your video more than 1 time.

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว +64

      Glad to hear! Wishing you the best luck!

    • @mutantkoffee
      @mutantkoffee 3 ปีที่แล้ว +22

      Yeah theres no equation, formulae, etc that can resist 100 tries, it helped me a lot. I do the same and ace the exams.

    • @ebrimabah982
      @ebrimabah982 ปีที่แล้ว

      Sir do you teach APA physics I need help

  • @janda1258
    @janda1258 5 ปีที่แล้ว +1842

    100 integrals, 100 series, 100 trinomials and now 100 derivatives? Bro, the time and effort put into this, I give you the maximum respect I am cabable of

    • @blackpenredpen
      @blackpenredpen  5 ปีที่แล้ว +166

      Janda125 thank you very much!! I am trying to do as many of these as I can so my future students and viewers can be benefited with tons of practice problems. : ))

    • @janda1258
      @janda1258 5 ปีที่แล้ว +14

      @@blackpenredpen I feel like a student watching these just as a viewer. And watching your videos have made me appreciate math more than I could ever believe and it has helped me tremendously at school, acing all courses and I'd like to believe that's because of you. Cheers from Sweden!

    • @MG-hi9sh
      @MG-hi9sh 5 ปีที่แล้ว +2

      I agree, your videos have taught me many interesting and wonderful techniques, and I am very grateful to you for this. Keep up the good work. 👍🏾

    • @duhbokchoy6771
      @duhbokchoy6771 5 ปีที่แล้ว +3

      100 partial derivatives, 100 limits, 100 of everything !!!!!!

    • @annonyme8529
      @annonyme8529 5 ปีที่แล้ว

      Now let's do 100 n-th iterations of functions :p

  • @chase6428
    @chase6428 4 ปีที่แล้ว +3361

    This is clear evidence that we are not all built the same

  • @emirulusoy579
    @emirulusoy579 ปีที่แล้ว +60

    I prepared for the summer school final of my Calculus course, which I failed in the fall semester, with this video and your integral starter video. And I passed the exam! Thank you very much for your hard work

    • @VaffleMan
      @VaffleMan 7 หลายเดือนก่อน

      He will reply soon, dw

    • @JesusPlsSaveMe
      @JesusPlsSaveMe 3 หลายเดือนก่อน

      ​@@VaffleMan
      Revelation 3:20
      Behold, I stand at the door, and knock: if any man hear my voice, and open the door, I will come in to him, and will sup with him, and he with me.
      HEY THERE 🤗 JESUS IS CALLING YOU TODAY. Turn away from your sins, confess, forsake them and live the victorious life. God bless.
      Revelation 22:12-14
      And, behold, I come quickly; and my reward is with me, to give every man according as his work shall be.
      I am Alpha and Omega, the beginning and the end, the first and the last.
      Blessed are they that do his commandments, that they may have right to the tree of life, and may enter in through the gates into the city.

    • @VaffleMan
      @VaffleMan 3 หลายเดือนก่อน +1

      @@JesusPlsSaveMe 3:20 he shows his medal
      22:12-24 he's solving d/dx(x²(2x³+1)¹⁰)

  • @ngchorhong3174
    @ngchorhong3174 3 ปีที่แล้ว +738

    Love that how he smiles while catching his breath every single time he rubs the whiteboard, also little jokes here and there just to make sure we don't doze off........he took the time to write out ALL steps+explanations, i can relate to the sigh of relief after each full sheet of derivatives is completed because i have been following him throughout this period with drinks by my side. The fact that he only takes a 3 MINUTE break in between this madness shows his commitment to help us. Excellently-executed session with everything covered about basic derivatives all while maintaining a positive mindset(though we can feel his internal pain and mentally-drained energy as well as the gigantic muscle cramp of his left arm). Moments like intentionally solving them the wrong way gives us a better understanding on the dos and donts of derivatives. Feels really satisfying after this session because i don't need to worry about STPM calculus for the most part ( that is until i am greeted by the "other" family right after this). (Will definitely come back for 100 integrals and differential equations later on). Keep up the good work because you teach SOOOOO WELL, looking forward to your future videos. Remember! Your efforts are NOT unnoticed.

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว +132

      This is one of the kindest and most sincere comments I have ever received. Thank you 😊. Best wishes!

  • @thinix396
    @thinix396 4 ปีที่แล้ว +2987

    Teacher: tonight's homework only has 1 question
    The one question:

    • @michastruck2584
      @michastruck2584 4 ปีที่แล้ว +45

      No joke this is an actual assignment my professor gave my group

    • @ahmedhajjaj5121
      @ahmedhajjaj5121 3 ปีที่แล้ว +80

      Yea it's so annoying, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z

    • @Vibranium375
      @Vibranium375 3 ปีที่แล้ว +58

      @@ahmedhajjaj5121 aa, ab ,ac,ad.....

    • @Khn_2102
      @Khn_2102 3 ปีที่แล้ว +10

      Your pfp matches your comment LMAO😂

    • @dolphinreacts532
      @dolphinreacts532 3 ปีที่แล้ว +1

      a,b,c,d,e,f...

  • @frankpoveromo4483
    @frankpoveromo4483 3 ปีที่แล้ว +49

    There was 0 shot I watched this whole video but I appreciate you. This was a very honest and sincere thank you at the beginning of the video and I think you seem like a very good teacher. This is what the world and education especially needs, and that's more people like you.

  • @jarrydhorn7049
    @jarrydhorn7049 4 ปีที่แล้ว +8998

    Imagine if after almost 7 hours he found out that he forgot to start recording.

    • @Jamsome59
      @Jamsome59 4 ปีที่แล้ว +382

      I would quit teaching.

    • @dredevilhalo516
      @dredevilhalo516 4 ปีที่แล้ว +572

      Plot twist : It already happened and he started recording all over again.

    • @jasonstarrising
      @jasonstarrising 4 ปีที่แล้ว +27

      I would commit suicide

    • @ryanowen3026
      @ryanowen3026 4 ปีที่แล้ว +95

      He did this was his second take

    • @umair.plays.8943
      @umair.plays.8943 4 ปีที่แล้ว +44

      No probs he is gona start over

  • @SirCobra229
    @SirCobra229 5 ปีที่แล้ว +214

    As a teacher you already have so much to do and then you also run a YouTune channel and post videos regurlarly?
    YET YOU STILL HAVE THE ENERGY TO MAKE THESE VIDEOS?
    I don't think I have seen a such dedicated and hard working person EVER!
    I have the biggest respect for you...
    Simply legendary..
    You are breathtaking!

    • @blackpenredpen
      @blackpenredpen  5 ปีที่แล้ว +42

      Thank you!!!!
      I am on my summer vacay now and will try to do as many this kind of videos as possible to benefit future students! Thank you!

  • @Acaerwen
    @Acaerwen 2 ปีที่แล้ว +19

    Encountered this video while studying for my calculus exam. I already had my exam 4 days ago and never in my life would I think at 2 am, bored, looking for a thing to do, I'd say "Maybe I'll go back to the 100 derivatives video and do some derivatives". Honestly, you made this fun and a very rewarding learning experience. I couldn't believe and still can't that you would actually do this in ONE video! Thank you so much for doing this. This really helped me hammer in the needed practice, understanding and usage of derivative rules. I only wish I found this video earlier so I could have had such a strong basis of derivatives from the get-go :O
    I will definitely be watching more videos and learning from them.

  • @alecpena6789
    @alecpena6789 4 ปีที่แล้ว +286

    Is anyone gonna talk about how he writes with two markers in the same hand and flawlessly transitions between the two?

  • @rakibulchowdhury5400
    @rakibulchowdhury5400 5 ปีที่แล้ว +177

    Wow! Before I was in Calc I thought you were doing some crazy challenge, but this is actually a super helpful study tool. Thanks man! I look forward to using your integral video for practice.

  • @t_c5266
    @t_c5266 5 ปีที่แล้ว +4673

    i can do 100 derivatives much faster
    my function of choice is e^x

    • @thalinkimohan4969
      @thalinkimohan4969 5 ปีที่แล้ว +56

      😂😂😂

    • @ZephyrAlphaOne
      @ZephyrAlphaOne 5 ปีที่แล้ว +25

      lol

    • @piotrabunski5885
      @piotrabunski5885 5 ปีที่แล้ว +122

      Will you be differentiating with respect to y or z? ;p

    • @CatchyCauchy
      @CatchyCauchy 5 ปีที่แล้ว +157

      @@piotrabunski5885 with respect to e

    • @cindylo8505
      @cindylo8505 5 ปีที่แล้ว +29

      Which is e^x!😂😂😂

  • @lucasargandona4658
    @lucasargandona4658 5 ปีที่แล้ว +2700

    6:03 when you find a villager

    • @mariamitrea4423
      @mariamitrea4423 5 ปีที่แล้ว +96

      I can't stop replaying 😂

    • @issavibe3123
      @issavibe3123 5 ปีที่แล้ว +15

      Lucas Argandoña I SNORTED LMAOO

    • @GamingPotatoHD
      @GamingPotatoHD 5 ปีที่แล้ว +20

      idk why I laughed so hard

    • @yoda301
      @yoda301 5 ปีที่แล้ว +7

      I spilled my beer!

    • @kansalsid
      @kansalsid 5 ปีที่แล้ว +4

      Spot on

  • @alexanderwiebel8531
    @alexanderwiebel8531 2 ปีที่แล้ว +1

    Thanks, I had troubble with derivates, not anymore

  • @dhanvin4444
    @dhanvin4444 3 ปีที่แล้ว +77

    At 22:29, derivative of 2x^3 + 1 is 6x^2, but bprp wrote 6x.

    • @alejandrovillarreal536
      @alejandrovillarreal536 2 ปีที่แล้ว +3

      Power rule boys

    • @dhanvin4444
      @dhanvin4444 2 ปีที่แล้ว

      @@alejandrovillarreal536 I know.

    • @mohammadibrahim7135
      @mohammadibrahim7135 11 หลายเดือนก่อน +2

      i also noticed that

    • @wintxrr.
      @wintxrr. 10 หลายเดือนก่อน

      he corrected it

    • @zhen2568
      @zhen2568 10 หลายเดือนก่อน +6

      This was irritating me so much, I'm glad someone pointed it out 😭

  • @Prxwler
    @Prxwler 5 ปีที่แล้ว +579

    1:08
    "I can not thank you enough"
    *Thank you*

  • @seutio1285
    @seutio1285 2 ปีที่แล้ว +10

    Hi I'm from Brazil, I'm studying in Brazil, thanks for the wonderful marathon of derivatives, it's been a while since I studied this subject, the way you presented it was perfect, and I don't understand English, except for some basic words, so that's the way you explained it, it was so that anyone who wants to learn can understand even if they don't know english, congratulations.

  • @JessieJ7948
    @JessieJ7948 5 ปีที่แล้ว +60

    This is soooooo soooo helpful. I honestly didn't know you did this. I studied alone without any help last week for my Calculus 1 exam. This would've helped me so much. Still I'm gonna solve every problem you put, to exercise my brain. Nice video dude, cheers! And thank you for helping us out with this hard videos, you're a hero!!

    • @blackpenredpen
      @blackpenredpen  5 ปีที่แล้ว +10

      thank you very much. I am very glad to hear it. : )

    • @blinkshot2047
      @blinkshot2047 ปีที่แล้ว

      Dude?? If you learn even a single word from him he's your teacher....

  • @josebustamante9182
    @josebustamante9182 3 ปีที่แล้ว +69

    I love how passionate he gets, he really is enjoying this. I hope I too can find something I can be this passionate about to do for the rest of my life

  • @micheledejana7849
    @micheledejana7849 4 ปีที่แล้ว +317

    Imagine doing a 100 series video and begin the video saying: "yes, I am series"

    • @blackpenredpen
      @blackpenredpen  4 ปีที่แล้ว +68

      😆 you read my mind. I have that video already plus I said exactly that in the beginning

  • @colleen9493
    @colleen9493 5 ปีที่แล้ว +117

    Are you kidding me?! Again?! You are so ambitious!

  • @syedramis825
    @syedramis825 15 วันที่ผ่านมา

    Hi there! I appreciate the hardwork you've put in making such fantastic content for free on youtube out there. I absolutely love it!

  • @luvdatkawaii
    @luvdatkawaii 4 ปีที่แล้ว +33

    your enthusiasm and dedication to your Upward Bound students are so wholesome, teachers like you remind me of my appreciation for all of the selfless teachers out there and that there is still good in the world

  • @OtakuRiku
    @OtakuRiku 4 ปีที่แล้ว +1503

    How is he still smiling 💀

    • @ivanderdev
      @ivanderdev 4 ปีที่แล้ว +96

      Sometimes we just gotta smile through the pain

    • @hiroshi3273
      @hiroshi3273 4 ปีที่แล้ว +25

      @@ivanderdev this helped me through this shit year

    • @turtle8558
      @turtle8558 3 ปีที่แล้ว +4

      Theirs Pain behind that smile

    • @girmontage
      @girmontage 3 ปีที่แล้ว

      Only the ones who can smile on things that they know what they are doing.

    • @AleksandarIvanov69
      @AleksandarIvanov69 3 ปีที่แล้ว +5

      I guess:
      - he is on drugs
      - he is clinically insane
      - he was made at Boston Dynamics
      - he rearry Asian

  • @FlatTopRob
    @FlatTopRob 3 ปีที่แล้ว +7

    I recently bought a book called " Pocket Book of Integrals and Mathematical Formulas" by Tallarida and it contains an insane amount of reference information. For some reason I'm fascinated by the idea of familiarizing myself with every equation in the book and writing them out. To my point, you have absolutely motivated me while I continue my journey to get my BS in Mathematics. Thank you!

  • @michaeledwardharris
    @michaeledwardharris 3 ปีที่แล้ว +10

    Man, I studied the heck out of this video. This was truly excellent! Teacher quality 10/10.

  • @roseamaryllis679
    @roseamaryllis679 4 ปีที่แล้ว +6

    Omg!! This video really helped me a lot. I'm a Calculus 1 student and am working on improving my differentiating skills with you. I watched almost all of your 100 everything. Now I only have 100 integrals and 100 series left to watch. I really respect and appreciate your hardwork, Mr. blackpenredpen. You're my hero. If I was your student, I would feel really proud and lucky to have you as my teacher. Your dedication is admirable.

  • @realCartiace
    @realCartiace 9 หลายเดือนก่อน +3

    I have to say that this is the best channel to learn math on the whole internet. I came across a lot of youtube videos about math, but not a single person explained it as well as you do. The effort you put in is crazy. 6+ hours of just derivatives.. for us! I am amazed.
    Also. This video is also very funny. I like the moment at 1:05:30, how after finishing your sentence you just put down your pen and stare into the camera. Very comedic. You are truly a gift for us students! Keep it up!

  • @blackpenredpen
    @blackpenredpen  5 ปีที่แล้ว +360

    Time stamps:
    "yes, I am serious" 0:00
    Ninja Melk: 2:30
    Q1, 3:45
    Q2, 5:17
    Q3, 8:34
    Q4, 11:17
    Q5, 13:20
    Q6, 16:49
    Q7, 18:55
    Q8, 21:04 (sorry for a small mistake but I corrected in the video)
    Q9, 28:40
    Q10, 34:42
    Q11, 38:08
    Q12, 41:30
    Q13, 44:15
    Q14, 52:34
    Q15, 56:42
    Q16, 1:00:08
    Q17, 1:03:26
    Q18, 1:07:31
    Q19, 1:10:20
    Q20, 1:14:16
    to be continued later for the rest... I did do the definition of derivative from Q91 to Q100, so check out the last part of the video!

    • @fundacionsinergia1145
      @fundacionsinergia1145 5 ปีที่แล้ว +2

      i believe there is a mistake on problem 42, it says x squared minus x squared minus one. when you cancel the terms it should have been minus one instead of one.

    • @blackpenredpen
      @blackpenredpen  5 ปีที่แล้ว +8

      @@fundacionsinergia1145
      Can you give me the time stamp? Thanks.

    • @divyam2106
      @divyam2106 5 ปีที่แล้ว +2

      Mate never get demotivated ..... Never think what u have done now is useless ...... It has helped my whole class .... Keep smiling start blessed ... Have a good day

    • @Memorise4
      @Memorise4 5 ปีที่แล้ว +1

      @@blackpenredpen it was correct at 2:56:24

    • @Itshardtogetauser
      @Itshardtogetauser 4 ปีที่แล้ว

      .

  • @dylaancaarpio
    @dylaancaarpio 4 ปีที่แล้ว +28

    Awesome! I just started learning about derivitaves in my calculus class, and what I'm looking at seems frightening, but I will definitely be back to this video once I'll be at this level. Amazing effort. Easy sub.

  • @tanviranzum646
    @tanviranzum646 ปีที่แล้ว +246

    Watch it backwards to learn integrals!!

    • @redhood466
      @redhood466 9 หลายเดือนก่อน +2

      How do u watch it backwards?

    • @deepamrs
      @deepamrs 8 หลายเดือนก่อน

      Lol

    • @cahesolo9267
      @cahesolo9267 7 หลายเดือนก่อน

      Very funny

    • @Mission_Without_Restrictions
      @Mission_Without_Restrictions 7 หลายเดือนก่อน +3

      ​@@redhood466 one is the reverse of the other 😂

    • @sarupyasaha9654
      @sarupyasaha9654 7 หลายเดือนก่อน

      Oh man.😂

  • @cristhuk7947
    @cristhuk7947 5 ปีที่แล้ว +96

    Next: 100 Differential equations! Great work

    • @swajag4653
      @swajag4653 5 ปีที่แล้ว +4

      He'll do it for sure :-) :-)

    • @MrAssassins117
      @MrAssassins117 5 ปีที่แล้ว +3

      I'd love that ODEssey

    • @krukowstudios3686
      @krukowstudios3686 5 ปีที่แล้ว

      Yes yes yes

    • @jacobharris5894
      @jacobharris5894 5 ปีที่แล้ว +6

      He probably can’t do it all in one sitting. I would imagine it would take at least twice as long as this video since most Differential Equations tend to be pretty long.

    • @BeattapeFactory
      @BeattapeFactory 5 ปีที่แล้ว +1

      @@jacobharris5894 50 would be nice too.

  • @rishabhbahoria1298
    @rishabhbahoria1298 4 ปีที่แล้ว +8

    Q 34 can further be more simplified at 2:36:08 as { [cosx + cos^2(x) + sin^2(x) + sin^2(x) ] / ( 1 + cosx )^3 }
    to simply 1 / (1 + cosx)^2.

  • @carolinasibille2193
    @carolinasibille2193 2 ปีที่แล้ว +2

    Thanks

    • @blackpenredpen
      @blackpenredpen  2 ปีที่แล้ว +1

      Thank you for your super thanks!

  • @ericmatthews3780
    @ericmatthews3780 5 ปีที่แล้ว +6

    Hey man, I really hope you see this. I've never seen your videos before and I don't know why you did this, but I really appreciate you for doing it. I mean 6. HOURS. standing between a whiteboard and a camera and having your arms and body at weird angles is ridiculous, but you were smiling and energetic to the very end. You have some amazing character by that alone. Like I said, I don't even know what the purpose of this was. So thank you for your effort, much respect!

  • @GoatzAreEpic
    @GoatzAreEpic 3 ปีที่แล้ว +4

    I just did derivatives for like 5 hours today and now I see your video and you do them IN ONE TAKE. wow amazing

  • @georgiannetirre4460
    @georgiannetirre4460 6 หลายเดือนก่อน

    Thanks!

  • @alinamoreno9235
    @alinamoreno9235 3 ปีที่แล้ว +62

    im only 5 questions in and i already LOVE your method of teaching! you make derivatives (dare i say) FUN!

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว +9

      Thanks! I am glad to hear it 😃

  • @vineetassociates
    @vineetassociates 3 ปีที่แล้ว +8

    You are not only a good motivator for math learners but also a good motivator for physical fitness!! Salute for your skill and fitness.... I am teaching differentiation to my son from your videos. !!!Salute!!!

  • @baselinesweb
    @baselinesweb 5 หลายเดือนก่อน

    Up to number 40, but it took me a couple of days. You are an IRON MAN. Good work, I learned (remembered) a lot going through these problems.

  • @hearts4758
    @hearts4758 5 ปีที่แล้ว +12

    I just wanted to say that this is so helpful! Also, you're the only teacher that can make me smile and motivated while doing math. Thank you so much!

  • @pkmkb
    @pkmkb 4 ปีที่แล้ว +8

    Man the consistency of his enthusiasm throughout the video is what I want in my life.

  • @undove
    @undove 3 ปีที่แล้ว +1

    Thanks!

  • @gordonlim2322
    @gordonlim2322 5 ปีที่แล้ว +1016

    I thought he was going to find the 100th order derivative of one function...

    • @1001-t4z
      @1001-t4z 5 ปีที่แล้ว +122

      Actually that would be painful and awesome at the same time

    • @joeboleiney4394
      @joeboleiney4394 5 ปีที่แล้ว +183

      Next video, Finding the Order of 100th Order derivative of one function... function is e^x.....

    • @GamingPotatoHD
      @GamingPotatoHD 5 ปีที่แล้ว +3

      Imagine the formula you would need lmao

    • @SigmaHayate
      @SigmaHayate 5 ปีที่แล้ว +36

      e^x(sinx+cosx +x^2)
      Do it forever. Good luck

    • @VndNvwYvvSvv
      @VndNvwYvvSvv 4 ปีที่แล้ว +43

      That would go to zero very quickly for many functions

  • @Beyking1234
    @Beyking1234 5 ปีที่แล้ว +484

    Me : I'm gonna sleep, just one more video
    Also me :

    • @blackpenredpen
      @blackpenredpen  5 ปีที่แล้ว +33

      : ))))))

    • @arnavanand8037
      @arnavanand8037 5 ปีที่แล้ว +11

      @@blackpenredpen I would be dead if I saw a face like that in real life

    • @TokyoBon
      @TokyoBon 5 ปีที่แล้ว +2

      I watched half of it already

    • @harshvardhanwagare5663
      @harshvardhanwagare5663 4 ปีที่แล้ว

      @@arnavanand8037 LMAO

    • @Jhay_07
      @Jhay_07 4 ปีที่แล้ว +1

      Me at 5 mins: I don't need sleep I need answer.

  • @Mdigi1982
    @Mdigi1982 9 หลายเดือนก่อน +1

    Re-learning all of this as an adult. By far the most helpful videos for me. Thank you for doing this -- I really appreciate it.

  • @TheMrDonios
    @TheMrDonios 5 ปีที่แล้ว +187

    At first I thought you're gonna differentiate the same thing 100 times hahaha.

    • @blackpenredpen
      @blackpenredpen  5 ปีที่แล้ว +27

      Διονύσης Χριστόπουλος maybe I will do that one day too

    • @3jake5mee
      @3jake5mee 5 ปีที่แล้ว

      me too haha

    • @connorbishop3289
      @connorbishop3289 4 ปีที่แล้ว +1

      @@blackpenredpen but it repeats after the 4th term

  • @steve2817
    @steve2817 5 ปีที่แล้ว +839

    Next video : 100 Partial derivatives

  • @fareswa2l85
    @fareswa2l85 หลายเดือนก่อน +2

    You are amazing! Our doctor at Engineering Portsaid University recommended your video to us and gave us your questions as homework. Thank you for your effort ♥

  • @slavii5772
    @slavii5772 5 ปีที่แล้ว +19

    Respect for these types of videos bro,still watching it even tho i don’t understand anything

    • @soupe2000
      @soupe2000 5 ปีที่แล้ว +1

      it's derivatives, nothing really difficult here, I think this is by far one of his easiest video

    • @slavii5772
      @slavii5772 5 ปีที่แล้ว

      soupe2000 ye but I’m 15

    • @soupe2000
      @soupe2000 5 ปีที่แล้ว

      @@slavii5772 AH! Don't worry if at this age we do those things for the first time, it should be this year

    • @hattorikanzo2793
      @hattorikanzo2793 5 ปีที่แล้ว

      @@slavii5772 im 15 too how can you not get this simple stuff?

    • @slavii5772
      @slavii5772 5 ปีที่แล้ว +1

      Hattori Kanzo good for you

  • @jpdemont
    @jpdemont 3 ปีที่แล้ว +55

    Professor Chow, you are awesome. Thank you for posting these videos and take pride in that fact that you are doing good for the world. BTW, I love how carefully you erase the board.

  • @crunchybeast3953
    @crunchybeast3953 หลายเดือนก่อน

    I would like to thank you from the bottom of my heart, I got my love for math from you. The way you explain and your enthusiasm about math when you are explaining something it always makes me happy. Thank you for the effort you put into your videos.

  • @leek8656
    @leek8656 2 ปีที่แล้ว +4

    Before watching this video, I knew basically nothing about derivatives. 6 and a half hours later and they feel super natural and easy. Thanks for the video, it was super helpful, clear, and informative!

  • @lisam9399
    @lisam9399 4 ปีที่แล้ว +14

    This is amazing. Thank you for doing this video!! I’m studying to prepare for my Calc. I class in the spring and your explanations are very clear and easy to follow. I’m so grateful for this video

  • @justbadcm
    @justbadcm 3 หลายเดือนก่อน +1

    loved it!! i solved all of them (except the hyperbolic ones) really enjoyed it Great Video!! ❤❤❤❤

  • @rorydaines3176
    @rorydaines3176 3 ปีที่แล้ว +8

    This man has a beautiful soul, you rock brother.

  • @xsheikah
    @xsheikah ปีที่แล้ว +3

    I watched this video before this semester of taking calculus to refresh my memory because i was taking it after a long break and I could not do any of them and now after almost finishing my semester I can easily do all of them so I think that I grew a lot. Hopefully I will understand the integrals much better after next semester of calculus 2

  • @RAVI-KUMARI
    @RAVI-KUMARI 8 หลายเดือนก่อน

    I can't sit at one place for even few minutes...but you 7hrs ..420min..25200sec...kind appreciation for your hardwork by showing pure smile on your face ...I got enough clarity on this chapter..👏

  • @okplay9446
    @okplay9446 ปีที่แล้ว +3

    I've had this video in my watch later playlist for like a year and a half, finally got to solving though. Thank you very much for making this, I'm definetly doing the other 100-everything challenges!
    For problem 28, I tried taking natural log first, and this is what I got: dy/dx = (y^3 + xy - y^2) / (2y^3 + xy^2 + x^2)

  • @dudfetbird
    @dudfetbird 3 ปีที่แล้ว +12

    4:08:15 I love how he said, "yes, I'm that mature guys", without saying it.

  • @donaldduck2943
    @donaldduck2943 11 หลายเดือนก่อน

    I like your energy and passion. i did calculus nearly 30 years ago. these days tutoring school kids in math.

  • @ev446
    @ev446 3 ปีที่แล้ว +4

    the first 20 minutes of this video helped explain the chain rule easier than weeks of my professor trying.

  • @champion2698
    @champion2698 5 ปีที่แล้ว +527

    Why do I prefer watching these then doing my actual math homework?

    • @AdolphHItler-rs1wi
      @AdolphHItler-rs1wi 4 ปีที่แล้ว +52

      Because watching this video is your choice whereas you're forced to do your homework and you know that homework is going to be an absolute waste of time.

    • @John-mj1kk
      @John-mj1kk 4 ปีที่แล้ว +20

      Because you're watching, not solving.

    • @champion2698
      @champion2698 4 ปีที่แล้ว +11

      Lucas shut up you simp ☺️

    • @iddra1868
      @iddra1868 4 ปีที่แล้ว +4

      Because you're not doing anything.

    • @D00000T
      @D00000T 4 ปีที่แล้ว +6

      Stop procrastinating like the rest of us you lazy ass

  • @yowreesesame1803
    @yowreesesame1803 ปีที่แล้ว +2

    This video really helped me passed calculus 1. Thank you bprp. I've discovered my potential that practice by repetition is key to passing. And now I'm in calculus 2 so wish me luck.

  • @francobarraza7121
    @francobarraza7121 4 ปีที่แล้ว +7

    MAn you look so happy teaching throughout the whole video, this is the motivation professors should have when teaching.

  • @Feeyuhh_
    @Feeyuhh_ 4 ปีที่แล้ว +7

    Thank you so much, I'm only in an hour in and things are starting to make so much sense now. I defiantly plan on watching the whole thing. And this is defiantly going to prepare me for my exam.

  • @nancybarisoa
    @nancybarisoa ปีที่แล้ว +2

    Best math teacher ever! You really helped me in my study, thank you BlackPenRedPen!

  • @kingpatty4628
    @kingpatty4628 3 ปีที่แล้ว +18

    He is the type of teacher that will continue discussing and giving seat works even after the class bell already rang just because it's the last period.

  • @connormccarthy2650
    @connormccarthy2650 5 ปีที่แล้ว +481

    I don't understand any of this, but I appreciate it

    • @IStMl
      @IStMl 5 ปีที่แล้ว +6

      Really?? That's basic tho

    • @connormccarthy2650
      @connormccarthy2650 5 ปีที่แล้ว +45

      @@IStMl I mean I'm a med student the only math I do now is fractions

    • @leorousseau8668
      @leorousseau8668 5 ปีที่แล้ว +39

      @@IStMl "that's basic tho"
      *Like your mom?*

    • @noncelord
      @noncelord 5 ปีที่แล้ว +15

      @@leorousseau8668 gottem

    • @harpy182
      @harpy182 5 ปีที่แล้ว +9

      ​@@IStMl Aight smartass

  • @annarose8959
    @annarose8959 3 ปีที่แล้ว +2

    I have no idea what compelled you to do derivative problems for nearly 7 hours but its super helpful for people like me who learn through a lot of examples!

    • @faustoantoniomartinezventu3882
      @faustoantoniomartinezventu3882 2 ปีที่แล้ว

      I`m from Dominicana Republic. You are the best teacher. Your classes of te calculus are very funny.

  • @alexdemoura9972
    @alexdemoura9972 5 ปีที่แล้ว +40

    - This is blasphemy... this is madness!
    - Madness? THIS IS BLACKPENREDPEN!!!!

  • @JJ_-fp9sj
    @JJ_-fp9sj 5 ปีที่แล้ว +6

    I have a partial exam on derivatives on Thursday. This couldn't have come out at a better time.

    • @blackpenredpen
      @blackpenredpen  5 ปีที่แล้ว +2

      Nice. Challenge for you, what is the pattern to the answers?

  • @Speak22wastaken
    @Speak22wastaken 4 หลายเดือนก่อน

    2:36:19 34 can be further simplified.
    Cos^2 x +cosx is cos x(cosx+1) and 2sin^2 x is 2(1+cosx)(1-cosx)

  • @coolbarend4449
    @coolbarend4449 3 ปีที่แล้ว +6

    Not sure why but I’ve been watching and learning, ur so enthusiastic it’s contagious!! Please never change and thanks for making math fun :)

  • @ca7821
    @ca7821 5 ปีที่แล้ว +7

    HEEEY JUST WANNA STOP BY AND SAY THAT I PASSED MY INTEGRAL CALCULUS SUBJECT! DIFF EQ IS NEXT UP FOR ME. THANK U FOR UR VIDEOS! THEY WERE SUCH A HUGE HELP =)

    • @blackpenredpen
      @blackpenredpen  5 ปีที่แล้ว +1

      Yay!!!! I am very glad to hear!!! Best of luck and enjoy the math!!!

  • @katon2459
    @katon2459 ปีที่แล้ว

    Much appreciation for the work people like you put out! You made it a wonderful time to live in in terms of learning materials! Keep on keeping on!

  • @fromexoplanet21
    @fromexoplanet21 3 ปีที่แล้ว +4

    This helped me so much! thank youuuuuuuu!!!!!! please, pleaseeeeeee do the 100 differential equation video!! i need it so much right now and you basically are the only tutor that i can understand well!

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว +1

      You can check out “diff eq marathon” 😃

  • @mercury619
    @mercury619 5 ปีที่แล้ว +75

    Maths Professor: can you do 100 derivatives non stop
    Steve: hold my round microphone

  • @Reallycoolguy1369
    @Reallycoolguy1369 3 ปีที่แล้ว +4

    Just finished the video... I tried them all as I watched! Thanks BPRP you're making me a better teacher!

    • @carljohnson8683
      @carljohnson8683 8 หลายเดือนก่อน

      did you really watched all of it?

    • @Reallycoolguy1369
      @Reallycoolguy1369 8 หลายเดือนก่อน

      @@carljohnson8683 Yeah man! I think there's a good number of people that do, even if it is in more than one sitting

  • @uddalokbasak2501
    @uddalokbasak2501 3 ปีที่แล้ว +11

    Reading in class 12 from India I did almost 200+ derivatives in last 2 days 😎 around 12+ hours of course we don't have the hyperbolic derivatives but we have everything else here i learned new methods of differentiation thanks for your effort blackpenredpen I love your videos ❤️ I will also go through the 100 integral video once i complete my existing ones ❤️❤️

  • @ProfessorWumbo
    @ProfessorWumbo 3 ปีที่แล้ว +5

    Haven't brushed up on basic calculus in 4 or 5 years and I'm about to head back to school for math. This video really helped me resolidify my differentiation skills. Thank you and I am a big fan!

    • @blackpenredpen
      @blackpenredpen  3 ปีที่แล้ว

      Glad to hear! Best wishes to you!

  • @vivimehmeti
    @vivimehmeti ปีที่แล้ว

    i always have a tough time taking notes because teachers always block the board when writing and i hate that so much , and i really love the fact that u don't so this is my favorite thing about this video . Also the way u teach is very understandable because english i my second language and i finally understand everything in a lesson .You are the best teacher i've had in my entire school life , thank you so much .☺☺

  • @dhruvdesai3654
    @dhruvdesai3654 3 ปีที่แล้ว +5

    Well derivatives aren't going anywhere away from my brain now. one of the best 6 hour sessions ever.
    Gotta say sir, you're a really good study buddy.

  • @prasunmishra9625
    @prasunmishra9625 4 ปีที่แล้ว +6

    Never ever in my life, i thought i would feel nostalgic watching a guy solving derivatives.

  • @justhasim7425
    @justhasim7425 7 หลายเดือนก่อน

    you deserve to be famous bro , you save many students . thank you.....

  • @ChewVodka
    @ChewVodka 5 ปีที่แล้ว +287

    Me when I see the first question on a test knowing i'll fail 6:13:14

  • @toki_yo8570
    @toki_yo8570 ปีที่แล้ว +4

    This is a committed man, he has my respect 💯

  • @Soumyadip.B07
    @Soumyadip.B07 4 หลายเดือนก่อน

    What you were saying was quite tough for me understand, but everything is pretty much clear, thanks for this great video.

  • @nemic.c
    @nemic.c 2 ปีที่แล้ว +4

    i havent taken cal or pre-cal yet. but i feel like this will be important to have this in the future. so i’m gonna save this. :)

  • @enzogelmetti2452
    @enzogelmetti2452 2 ปีที่แล้ว +18

    Hi, i think there is a mistake in the minute 22:30, cause the derivative of 2x3 its 6x2 and not 6x :) (i like so much your work)

    • @luriabrothenjoyer
      @luriabrothenjoyer ปีที่แล้ว +3

      i noticed that was trying to find this comment

    • @myusername2292
      @myusername2292 ปีที่แล้ว +1

      Not sure if this helps, but he fixes it later on

  • @borisgaming8751
    @borisgaming8751 2 ปีที่แล้ว +1

    best video everrrr!!!! keep going KING👑

  • @ShubhayAnshuman
    @ShubhayAnshuman ปีที่แล้ว +5

    People like him deserve all the fame and success

  • @williamwelmans8648
    @williamwelmans8648 4 ปีที่แล้ว +14

    Exceedingly helpful! Thank you! You are a very good teacher!
    Just to mention, in question 8, shouldn't the inside of function g differentiate to 6x squared?

    • @cadentrombone5345
      @cadentrombone5345 3 ปีที่แล้ว +4

      Yes it should it was a mistake

    • @iwandejong
      @iwandejong 2 ปีที่แล้ว

      Had the same thought.

  • @MrSimmies
    @MrSimmies ปีที่แล้ว

    This was incredibly beneficial for students. (I taught AP calculus for 32 years.) I would suggest doing the last few problems first (where you're proving product rule and quotient rule.) That would validate to the students that what they did for the first 96 or so problems was legitimate, (in other words they KNOW that the steps they were performing were correct because they've seen the proof for why they work!) Great job as usual.