First Derivative Test Intervals of Increasing Decreasing & Relative Extrema Calculus 1 AB

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  • เผยแพร่เมื่อ 1 ก.พ. 2025

ความคิดเห็น • 106

  • @patelp9701
    @patelp9701 7 ปีที่แล้ว +6

    Oh man, I don't even know where to start. You and Prof. Leonard are the best calc teachers I have seen in this world that are still alive. You really show the understanding of "how to use Feynman's technique" when explaining the topic. Bravo!

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว

      Thanks for the compliment Pranav...I'm glad I'm still alive to reply...lol
      Seriously...thanks for your continued supporting please sub and keep sharing this channel and your experience with everyone:)

    • @patelp9701
      @patelp9701 7 ปีที่แล้ว +1

      ProfRobBob I will and I just took the test on Thursday and I did good for the most part but we had two parts a calculator and a non calculator and I took too long for the calculator part so I didn’t have enough time for the other but I can tell you that I knew how to do the problems I just didn’t have time

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว

      Just keep practicing...maybe do some self timing on the calculator and next time I'm sure you'll feel more confident and pass that test like BAM!!!

  • @kendalloliver3418
    @kendalloliver3418 9 ปีที่แล้ว +9

    I never usually leave comments, but you deserve one! Whenever I am confused with math (which happens more often than I'm willing admit) I come watch your videos. You explain things in simple terms and still keep me engaged. Thank you so much! Wish I had you as my teacher.

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +Kendall Oliver you're welcome and thanks for taking the time to share your appreciation, it's always nice to hear that you are making a difference...at least I can be your TH-cam teacher!
      Glad the videos are helping so much...please take the time to like, subscribe and share my channel with everyone in order to help these free educational channels keep growing and remain free for everyone:D

  • @tsegoa12
    @tsegoa12 10 ปีที่แล้ว +1

    Again, left class with a vague understanding of increasing/decreasing and max/min functions..Went straight to the computer lab to see if Mr. ProfRobBob has a helpful video on this topic and voila! What you're doing is beyond math, it helps people understand tough concepts and get good grade to progress further to that degree! You rock man!

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      THANK YOU Constantine T for your complimentary comment, your repeated support and looking to my channel first for help:) Next time you're in the computer lab maybe you could print and post one of my flyers from my website for me! (available at profrobbob.com) In the mean time please continue to help my channel groW by sharing your learning experience and my channel with everyone and "Spreading the Word" thru social media:D
      Help us reach our goal of 100,000 subscribers by 2015...BAM!!!

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว +1

    Thank you! Good to see that you are still watching and learning:)

  • @HERKFOOT21
    @HERKFOOT21 8 ปีที่แล้ว +1

    Man every time i watch your videos you just always have a different easier way to remember than what other teachers teach. Like in this how instead of creating a chart you just create the intervals in parenthesis rather than a big chart like my teacher did and under each one write the positive or neg. Or in your first basic log video where you say a log is the base^answer = exponent, whereas other teachers and books teach you to just remember the log is something like b^c=a. It's so much easier when you know and understand it rather than just memorize formulas!

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว

      It's always nice to be a part of your continued passion for learning!

  • @Pete-Prolly
    @Pete-Prolly 5 ปีที่แล้ว +2

    "3.9, 3.99, 3point na-na na-na na-na na-na"
    BATMAN!!! 🎵🎶BATMAN!🎵🎶
    Haha!! 😂 (I couldn't resist 😁 lol) You've helped me a LOT!! (I have a great Calculus teacher too,) but I need to hear stuff more than once...to pause, ponder 🤔 & digest!

    • @profrobbob
      @profrobbob  5 ปีที่แล้ว

      LOL...that's awesome!!!
      Thanks for taking the time to share your appreciation and honesty and thanks for choosing my channel to do that studying with. Please share this channel and your story with your Calc teacher just in case they want to share it with other students like you in the future...and thank them for doing such a great job as a teacher, we can never hear that too often...BAM!!!

  • @UnbeknownToHis
    @UnbeknownToHis 8 ปีที่แล้ว

    I've just come across this channel. I am really amazed by your way of explaining and your focus on the small steps while solving problems that usually are not explained on other channels. Thank you much

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว

      You are so welcome and thanks for studying, subbing, liking and learning from this channel...please share these free educational channels that help you, that's how we all keep growing:D

  • @tyshonthompson8228
    @tyshonthompson8228 10 ปีที่แล้ว +1

    ProfRobBob your videos are awesome and they are a big help + the occasional humor makes math so much less boring. I wish I could attend one of your lectures in person. Keep up the great work! You're awesome.

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      Thanks for watching and subbing Tyshon Thompson and taking the time to share your experience and appreciation!...if you're ever in St Pete feel free to drop by my class and sit in :)

  • @xruno841
    @xruno841 8 ปีที่แล้ว +1

    My online class is a joke, the MIT professor in the book is terrible at teaching. I am glad there are professors like you. Thank you.

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว

      Thanks for taking the time to seek outside help and choosing my channel to study with!
      Please share this free resource with your on-line teacher or wherever you sigh up for this class with:D

  • @cerberus8093
    @cerberus8093 8 ปีที่แล้ว

    im the only kid in my summer applied calc class and your vids are the only thing keeping me going. Thanks!

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว

      Glad to hear these lessons are helping you...please help us by liking, subbing and sharing this free educational channel when you can:D

  • @beccakool
    @beccakool 8 ปีที่แล้ว

    It's hilarious that I pay some big university professor to teach me calc., but I just end up coming to watch your videos instead because you actually explain the math in simple terms. Thank you so much for posting these videos!

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว

      Thanks for watching, subbing and sharing your appreciation!
      Sounds like a perfect time to share this free resource with your professor for all the current and future student at your university...BAM!!!

    • @dpmike32819
      @dpmike32819 3 ปีที่แล้ว

      Maybe you should donate some money to him

  • @indumathi5182
    @indumathi5182 5 ปีที่แล้ว +1

    Your are simply great....

    • @profrobbob
      @profrobbob  5 ปีที่แล้ว

      Thanks...please sub and share too:D

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว +1

    Good luck on your test Monday...I hope you do great:) I am very pleased I can help you in your math studies. Let me know how you do.

    • @HZVideosOfficial
      @HZVideosOfficial 7 ปีที่แล้ว

      Sir U didn't explain whats going to be our relative min at 26:07 ? Is there no relative Min?

  • @noahdooley4859
    @noahdooley4859 8 ปีที่แล้ว

    This video was extremely helpful in helping me study for my midterm that I'll be taking in t-minus two hours. Thanks so much! Thumbs up

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว +1

      Thanks for studying with Tarrou's Chalk Talk...after you pass that midterm like BAM!!!...please take the time to like, sub and share this channel with the rest of your class and friends too:D

  • @adrianagomez6789
    @adrianagomez6789 10 ปีที่แล้ว +2

    You're videos are awesome! I'm in college and I use these for all my calculus questions :D Thanks so much!

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      Adriana Gomez You are so welcome!
      ...and thanks for your continued support, please be sure to share my channel with all your friends and classmates looking for math help:D

  • @Westbest81
    @Westbest81 11 ปีที่แล้ว

    I just got back my test I had on Monday, I got an A. :D
    Thanks for the help and continue being awesome.

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว +1

    WhoooHoooo...welcome back! Where did the summer go?!!! Does this mean you're using my videos again and still flipping?! I hope you have a spectacular school year:) Keep in touch and let me know how things are going from time to time.

  • @Westbest81
    @Westbest81 11 ปีที่แล้ว

    Thanks for uploading this, I have a test for this on Monday and this will help me alot.

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว +1

    I saw them used a little bit in my summer AP training. I am teaching Calc life for the first time this year, so suggestions are appreciated. If you can send a picture...I have a Facebook fanpage you could send me a personal message through. I will try to help as much as I can:D I am having a blast with my Calculus class this year...except I also am teaching PreCalculus, AP Statistics, and a remedial math class while making brand new plans for Calculus!!!

  • @mira291194
    @mira291194 11 ปีที่แล้ว

    Wish me luck for my test on this monday ! Hope this will help ! And you're awesome ! I like your videos ! Im looking forward to the next video ! Keep it up sir ! :)

  • @rodneymuleya9540
    @rodneymuleya9540 9 ปีที่แล้ว

    LIFE SAVER ProfRobBob

  • @TrillianDJ
    @TrillianDJ 10 ปีที่แล้ว +1

    BEST. TRANSITIONS. EVER.

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      THANKS TrillianDJ !
      Don't forget to Like, SUBSCRIBE and share that with the rest of the universe:D

    • @TrillianDJ
      @TrillianDJ 10 ปีที่แล้ว +1

      ProfRobBob
      Don't worry, I gotcha covered! :D

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว +1

    WhoooHooooo!!!! That's AWESOME news:) Keep watching and spreading the word for me:D

  • @GREJFilmsLtd
    @GREJFilmsLtd 11 ปีที่แล้ว

    The first 18:43 is part of the HW assignment for my class tonight!

  • @roginagerges5938
    @roginagerges5938 10 ปีที่แล้ว +1

    I think I might have just passed my Ap calculus test, Thanks to you! NO REALLY, THANK YOU.

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      You're welcome Rogina Gerges and THANK YOU for taking the time to study and for choosing my channel to watch, learn from and sub to!
      After you pass that test please be sure to share your experience and my channel with your friends, class and teachers as an additional study resource to help keep raising those GPA's...BAM!!!

  • @legendwaitforitdary8802
    @legendwaitforitdary8802 10 ปีที่แล้ว +3

    ONE OF THE GREATEST!

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      THANKS legendwaitforit dary !

  • @superdooperredhot
    @superdooperredhot 11 ปีที่แล้ว

    Have you seen the sign charts to help with these types of problems? If not, I can find a way to send you my notes on them. It makes the process in this and the 2nd derivative test a lot easier when finding the signs and determining what goes where. I still need your help getting through calculus though. Thank you so much for your help. I watched your extrema video before class and I actually had an idea of what I was learning about!

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว +1

    You're welcome:)

  • @loveizlovewewin4843
    @loveizlovewewin4843 10 ปีที่แล้ว +2

    34:41 look like a japanese teacher! hahahaah so funny! By the way thanks to your videos I just got a 100% on my calc test! :)

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      marina araceli always "check your work" BAM!!!
      ...and keep up the good work and don't forget to like, subscribe and spread the word:D

    • @loveizlovewewin4843
      @loveizlovewewin4843 9 ปีที่แล้ว +1

      ProfRobBob OK! :)

  • @SFUManiac
    @SFUManiac 10 ปีที่แล้ว +1

    Doing homework + watching your videos + going to the campus math lab = An odd love of calculus.

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      LOL SFUManiac...I love your calculations!!!
      Thanks for watching & subbing to #ProfRobBob ...and I hope you have posted my channel info in the campus math lab for me too:)

  • @lt9992
    @lt9992 11 ปีที่แล้ว

    I am passing ap calc bc because of your videos THANK YOU!!!

  • @MultiPenguin123
    @MultiPenguin123 10 ปีที่แล้ว +4

    30:33
    X=.2014
    The year is 2014.
    Coincidence? I think not.

  • @profrobbob
    @profrobbob  11 ปีที่แล้ว +1

    BAM!!! That's what I'm talking about:)

  • @vladsirin
    @vladsirin 10 ปีที่แล้ว

    Thank you for all of your videos. They've greatly assisted my studies. I wanted to point out a contradiction of your written Test for Inc and Dec F and the one written in Larson Calculus 10th ed. It's the first If... If f prime of x is greater than zero for all x in (a,b)...you've written a closed interval while in the text here there is an open interval. Would this change the condition of the derivative? Or would it have no significant impact in it's application when we are in fact seeking relative rather than global max/min? It would seem to exclude the concept of the global max/min. Because we're employing the concept to find limits within a function, I don't think it's a big deal, but I want to make sure. Thank you again.

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      That is a copy error on my part. I included an annotation correction in the video. Thank you very much for pointing that out.

    • @vladsirin
      @vladsirin 10 ปีที่แล้ว +1

      Ah! Sorry I didn't catch the annotation later before posting this! Thanks for taking the time out to do that.

  • @ruipenghan535
    @ruipenghan535 6 ปีที่แล้ว +1

    Thank you very much!!!!!!!!!!

    • @profrobbob
      @profrobbob  6 ปีที่แล้ว

      You're welcome...thanks for watching!
      Don't forget to like, sub and keep sharing:D

  • @mira291194
    @mira291194 11 ปีที่แล้ว

    Thank you so much, now I understand on how to find those prob :)

  • @MrVodka55555
    @MrVodka55555 9 ปีที่แล้ว

    HI. I just want to say how rGreat you are Mr Rob, thanks you

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +Bashir Hamlawi you're welcome...thanks for watching and subbing!

  • @deoriginalrudeboi
    @deoriginalrudeboi 11 ปีที่แล้ว +1

    dude you are totally AWESOME!!! can you please do some vids for calc 2?

    • @profrobbob
      @profrobbob  11 ปีที่แล้ว

      THANK YOU…for commenting, watching, supporting and subscribing but OMGoodness, I'm teaching AP Calc for the first time this year and keeping up with those videos along with 3 AP classes and 4 preps and life…I'm sorry to say, there is no time right now for Calc2 but they will come, just not this year:(
      In the mean time I do appreciate the support and please tell others where to find me:)

  • @Soundwave012
    @Soundwave012 11 ปีที่แล้ว

    Videos are phenomenal, however I am confused on how to set a trigonometric function to zero when there are multiple trig functions involved with the derivative. Ex: y= (theta) + sin(theta) + cos(theta). Your assistance would be most appreciated!

    • @profrobbob
      @profrobbob  11 ปีที่แล้ว

      If you are not allowed to use your calculator to solve these types of problems you will probably need to use Trig Identities to rewrite the equation so there is only one trig function (variable). Like cosx=sqrt(1-(sinx)^2)

  • @aldo7962
    @aldo7962 8 ปีที่แล้ว

    what happens when it increases and decreases twice at the same y value but a different x value. what would be the rel Min and max

  • @MrGittle
    @MrGittle 10 ปีที่แล้ว

    Question. Can there just be a hole at negative and positive 2? Wouldn't that be another conceivable way of drawing the graph rather then having an asymptote at the respective x-values?

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      When the numerator and denominator of a rational function are just polynomials, you will have vertical asymptotes where the denominator equals 0 unless those factors (zeros) can be cancelled with a factor(s) from the numerator.

    • @MrGittle
      @MrGittle 10 ปีที่แล้ว +1

      ProfRobBob Gotcha. And thank you for your videos, they are great!

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      Jason K You're welcome...and thanks for subbing and supporting my channel!
      Please continue to spread the word:D

  • @mikekastner5402
    @mikekastner5402 8 ปีที่แล้ว

    at 21:40 y prime in the denominator is not x^2 -4 as you say .Its (x^2-4)^2. So when you solve for your critical numbers they are the wrong numbers. I graphed the equation in my caculator and it does't look like anything you came up with. What gives?? ?????? Please get back to me

    • @tbritt897
      @tbritt897 8 ปีที่แล้ว

      Mike Kastner, it does not change the answer, still plus or minus 2.

  • @zaidrafea6661
    @zaidrafea6661 8 ปีที่แล้ว +1

    you are AWESOME!

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว

      thanks for liking and learning please sub and share too:D

  • @alwayslit_texting
    @alwayslit_texting 10 ปีที่แล้ว

    how did you get -.2014 at 30:35, i got -11.5369503, please help Mr. Tarrou

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว +1

      Radian mode instead of degrees:)

  • @hussein9003
    @hussein9003 11 ปีที่แล้ว

    You are the best

  • @ericbohrer8040
    @ericbohrer8040 8 ปีที่แล้ว

    thank you I got a 100 on my quiz because of you

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว

      CONGRATS and THANKS for taking the time to study with Tarrou's Chalk Talk!!!!

  • @bigguschungus2453
    @bigguschungus2453 9 ปีที่แล้ว

    How can I factor = x^4 - 2x^3 + 6

  • @MrVodka55555
    @MrVodka55555 9 ปีที่แล้ว

    im sorryt at 14:05 . -3 times -3+9 9-3=6 6-6=0?????

  • @applepiewithdad
    @applepiewithdad 8 ปีที่แล้ว

    Is rel max a saddle point?

  • @tolpakh6622
    @tolpakh6622 8 ปีที่แล้ว +1

    fan of you sir

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว

      thanks for watching!

  • @FreeeeWillie
    @FreeeeWillie 11 ปีที่แล้ว

    Thank you sooo much

    • @profrobbob
      @profrobbob  11 ปีที่แล้ว

      You are solo welcome! Thanks for watching and liking but don't forget to SUBSCRIBE to help me see that "M" next to my subscriber count someday:)

  • @SNoCappidona
    @SNoCappidona 6 ปีที่แล้ว

    Mr. Tarrou
    This is not a haiku
    I'm talking to you
    Will you please come and do,
    my homework?

  • @samanadel3422
    @samanadel3422 6 ปีที่แล้ว

    Prof i wanna contact u...how to?

    • @profrobbob
      @profrobbob  6 ปีที่แล้ว

      You just did:)
      Thanks for watching!

    • @samanadel3422
      @samanadel3422 6 ปีที่แล้ว

      ProfRobBob well i actually meant like give us ur fb or whatever social media of urs

    • @profrobbob
      @profrobbob  6 ปีที่แล้ว

      You can also find us on FB at Tarrou's Chalk Talk:)

  • @ivancastro365
    @ivancastro365 9 ปีที่แล้ว

    i'm getting -11.54

    • @ivancastro365
      @ivancastro365 9 ปีที่แล้ว

      Ivan Castro for the inverse sin of -1/5

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      Ivan Castro Your calculator is in degree mode:)

  • @jakekipp6504
    @jakekipp6504 9 ปีที่แล้ว +1

    Bam !!! Supermath Man saves the day yet again. (I still like Math Jesus better)

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +Jake Kipp lol...either way we really appreciate the viewership and support and the fact that you are taking the time to study...BAM!!!

    • @jakekipp6504
      @jakekipp6504 9 ปีที่แล้ว +1

      +ProfRobBob do I have permission to print off that flyer on your page and hang it up on the student math board here at University of North Dakota ?

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +Jake Kipp ABSOLUTLY!!!! That's why we have one, but you are the first person who has offered to print and post it...and if you remind everyone of those 15,000 students to subscribe when they watch, we might actually reach our goal of 100,000 subscribers before the end of the year...BAM!!! (no pressure:)

    • @jakekipp6504
      @jakekipp6504 9 ปีที่แล้ว +1

      +ProfRobBob hey I'll do what I can to help your goal.

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +Jake Kipp we appreciate any and ALL of your help:)

  • @Felipe-rl8tz
    @Felipe-rl8tz 10 ปีที่แล้ว

    you're fucking awesome!!!!