Derivatives using limit definition - Practice problems!

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  • เผยแพร่เมื่อ 7 มิ.ย. 2017
  • Do you find computing derivatives using the limit definition to be hard? In this video we work through five practice problems for computing derivatives using the limit definition of derivatives. We go from simple to advanced, and show you all the tricks you need to conquer these types of problems!
    Want more advanced problems? Check out this video: • Derivatives using limi...
    Quick links to each problem:
    Problem 1: • Derivatives using limi...
    Problem 2: • Derivatives using limi...
    Problem 3: • Derivatives using limi...
    Problem 4: • Derivatives using limi...
    Problem 5: • Derivatives using limi...

ความคิดเห็น • 185

  • @claytucker8651
    @claytucker8651 5 ปีที่แล้ว +202

    You’ve saved me a lot of time. This video is more informative then my Calc professor by several times over and it lasted 5 times less then class.

  • @user-xc4yd5qg5x
    @user-xc4yd5qg5x 10 หลายเดือนก่อน +12

    I really appreciate how this man shows all of his steps even if it is simple adding and subtracting. It helps me from getting lost.

  • @shimaalcarrim7949
    @shimaalcarrim7949 5 ปีที่แล้ว +26

    Wow if only my highschool and college teachers were so thoughtful in picking out a helpful variety of examples

  • @CameronRomney
    @CameronRomney 5 ปีที่แล้ว +55

    I wish you were my calculus teacher...You really do make math "simple". Thank you!

  • @robbicmanzano5416
    @robbicmanzano5416 4 ปีที่แล้ว +20

    Wow this really helped me unlike the others... haha it’s just because, our teacher gives us easy examples to follow during the discussion but when we’re going to look and answer out activity sheet? It is COMPLETELY different

  • @nataliavillalobos2201
    @nataliavillalobos2201 3 ปีที่แล้ว +22

    Studying for a final exam and I had forgotten how to do these, thank you sir, God Bless

    • @beoptimistic5853
      @beoptimistic5853 3 ปีที่แล้ว

      th-cam.com/video/XPCgGT9BlrQ/w-d-xo.html 💐

  • @Titan88811
    @Titan88811 5 ปีที่แล้ว +9

    Wow... By far the best video I have found on this. The way you show the colors moving as a way to show where you are getting the numbers from is great and it is super easy to follow. Thank you!

  • @maliwanblue
    @maliwanblue 5 ปีที่แล้ว +10

    You are a lifesaver I couldn’t understand this for the longest time but it’s so simple...thank you

  • @mayraflores5085
    @mayraflores5085 5 ปีที่แล้ว +10

    very helpful, better than any video I have been searching for/watching for hours! thank you!

  • @robinq7307
    @robinq7307 2 ปีที่แล้ว +13

    Dang you just summed up what I was struggling with for two weeks in calculus class in 14 minutes. Thank you so much this video is a godsend. Starting simple then escalating the difficulty really helps grasp what to do and why, in class we just started with the more difficult problems so I was lost on some of the earlier steps.

    • @robinq7307
      @robinq7307 2 ปีที่แล้ว

      Update: I just breezed through a problem I was struggling with for a week after watching this video. Thank you!

  • @potterhead1013
    @potterhead1013 5 ปีที่แล้ว +32

    Oh my god! I finally understand what to do now. This video is wonderful.

  • @bradensweatt1170
    @bradensweatt1170 2 ปีที่แล้ว +4

    Haven’t even started the derivative in my high school calc class and already pretty much know how to do it. This is great.

  • @ZeeNoorTrip
    @ZeeNoorTrip 3 ปีที่แล้ว +2

    This is called teacher. who teach and let students understand it, not like my university teachers. thank you so much

  • @bridgeunwort61
    @bridgeunwort61 3 ปีที่แล้ว +2

    I was absent when my class was learning about the derivative limit function. I just learned all the tricks, like chain rule, product rule, etc. Now I need to know how to find derivatives with this function years later for a final, so thanks!

  • @atlas.8739
    @atlas.8739 2 ปีที่แล้ว +1

    wish I found this video 4 years ago man, saved a whole lot of time! Thanks!

  • @anthonyg1111
    @anthonyg1111 6 ปีที่แล้ว +7

    Thank you so much this should have more views.

  • @shreeyanshmaurya7900
    @shreeyanshmaurya7900 4 ปีที่แล้ว +3

    You are tooooooooooooooooooooooooooo good. I was not able to understand this formula. You helped me understand this in just 14 min and l practiced a lot. I knew the simple formula which is x^n-1. But now l have mastered the concept just because of you. Now l know both the ways of solving these questions.
    I want that your channel grows bigger and bigger and a lot of students get inspired by you. You can do anything.....................

  • @jonathanbishop6461
    @jonathanbishop6461 3 ปีที่แล้ว +2

    I haven’t done calc in three years... this was easy to follow.

  • @pandaindistress4728
    @pandaindistress4728 3 ปีที่แล้ว +1

    there were some numbers I was struggling with in my calculs book, but thank you because now I know how to solve them :) thank you again

  • @manfredcaranci6234
    @manfredcaranci6234 2 ปีที่แล้ว

    EXCELLENT! Very clear and straightforward.

  • @Engineering_world002
    @Engineering_world002 11 หลายเดือนก่อน +1

    Ready for the exam, love this

  • @carlosgordfgg692
    @carlosgordfgg692 ปีที่แล้ว

    Thank you so much for this video, you have no idea how much this video actually helped!

  • @shamineywalsh-dupuis6520
    @shamineywalsh-dupuis6520 4 ปีที่แล้ว

    So informative and well broken down. Thanks so much

  • @petrakamm9007
    @petrakamm9007 2 ปีที่แล้ว

    Definitely safed my life, thank you so much, I had no idea how to do this before...

  • @elisusser9721
    @elisusser9721 2 ปีที่แล้ว

    Life saver for my first calc exam this week, u da man!!

  • @raphaelsutter2494
    @raphaelsutter2494 4 ปีที่แล้ว +2

    Best simple explanation ever

  • @jamesalosi5637
    @jamesalosi5637 4 ปีที่แล้ว +1

    I found it too easier to work out THANK YOU

  • @ryannkohlman5751
    @ryannkohlman5751 3 ปีที่แล้ว +1

    Thank You! This helps a lot! Only if my Professor explained it like this

  • @sarweshchandramouli4202
    @sarweshchandramouli4202 4 ปีที่แล้ว

    Thank you soooo much!!! BTW, love the color coding and highlighting!!!

  • @anirudhanr5741
    @anirudhanr5741 5 ปีที่แล้ว +1

    Thanqqq so much sir.... I am preparing for improvement now it was so useful.... This was the topic which i was stuck for 1 year.... Now i have acquired it.... Indian kerala palakkad malayali ❤️

  • @ExplosiveRobotics
    @ExplosiveRobotics 3 ปีที่แล้ว +2

    11:39 When you're doing calculus and forget a way of doing math you learned in first grade

  • @carolynncalin1199
    @carolynncalin1199 3 ปีที่แล้ว +1

    the best video I've found on this!!

  • @ankesh_17
    @ankesh_17 3 ปีที่แล้ว +2

    Thanks for this. Extremly good teacher.

  • @johnpeter5270
    @johnpeter5270 3 ปีที่แล้ว +1

    Perfect explanation...indeed if you can't explain it to a 2year old its all on nothing..
    Thanks sir.God bless you..

  • @Shaatha
    @Shaatha 4 ปีที่แล้ว +2

    The best. Thank you very much

  • @dijonstreak
    @dijonstreak ปีที่แล้ว

    excellent job !!.. a very clear behind the scenes approach, clarifying a very hard set of rules that YOU simplified and made them EASIER to digest..thank YOU. SO much. for a 5STAR job !!

  • @adamrolczyk7217
    @adamrolczyk7217 2 ปีที่แล้ว

    Amazing, thank you so much professor! :)

  • @jadelaffiette7668
    @jadelaffiette7668 2 ปีที่แล้ว

    YOU SIR ARE A LIFE SAVER

  • @tayquansneed4785
    @tayquansneed4785 3 ปีที่แล้ว

    This was an amazing video, really needed this for my AP Calc class!!

    • @beoptimistic5853
      @beoptimistic5853 3 ปีที่แล้ว

      th-cam.com/video/XPCgGT9BlrQ/w-d-xo.html 💐

  • @youssefamr5611
    @youssefamr5611 4 ปีที่แล้ว +1

    Thanks man, this really helped

  • @kylea4225
    @kylea4225 3 ปีที่แล้ว +2

    such a great video love the small animations

  • @ezramccollum9576
    @ezramccollum9576 2 ปีที่แล้ว

    This is such an amazing video, thank you bro!!

  • @kfc3797
    @kfc3797 3 ปีที่แล้ว +1

    I was stuck on the conjugate part but you really helped thank you so much!!

    • @beoptimistic5853
      @beoptimistic5853 3 ปีที่แล้ว

      th-cam.com/video/XPCgGT9BlrQ/w-d-xo.html 💐

  • @TrilokNegi10
    @TrilokNegi10 ปีที่แล้ว +1

    the video was very helpful in understanding the concept.

  • @realABN
    @realABN 2 ปีที่แล้ว

    lol watching this at 4 am while having my mid term in 3 hours, What a life saver.

  • @38Fanda
    @38Fanda 5 ปีที่แล้ว +5

    how about the limit of (ln(x)-1)/(x-e)

  • @andrewndidde5372
    @andrewndidde5372 2 ปีที่แล้ว +1

    Really helpful. Was stuck. Thanx a bunch

  • @haiboubadam6280
    @haiboubadam6280 3 ปีที่แล้ว

    I finally understand what this equation means. tysm!!!

  • @xidigmedia9230
    @xidigmedia9230 5 ปีที่แล้ว +2

    Thanks so much...you made everything look so simple...

    • @SimpleMath
      @SimpleMath  5 ปีที่แล้ว

      It really can be!

  • @aghasafarzade
    @aghasafarzade 4 ปีที่แล้ว +3

    Very good explanation👍🏻

  • @sharijames598
    @sharijames598 4 ปีที่แล้ว

    What about f(x)= x^3? Should u do (x^2+h)(x+h) or write out x+h three times and foil?

  • @pam5132
    @pam5132 2 ปีที่แล้ว +1

    i don’t get why teachers can’t teach it like this! great vid 😭

  • @Reem-zx8fg
    @Reem-zx8fg 5 ปีที่แล้ว +2

    Thank u So Much.

  • @high5smacker514
    @high5smacker514 4 ปีที่แล้ว

    Thanks so much! My parents can’t figure this out and I have to teacher, so this helps a lot!

    • @beoptimistic5853
      @beoptimistic5853 3 ปีที่แล้ว

      th-cam.com/video/XPCgGT9BlrQ/w-d-xo.html 💐

  • @Kyle-jn3ro
    @Kyle-jn3ro 4 ปีที่แล้ว +1

    you make it seem so simple, hence the name lol. very good video.

  • @wakoson3203
    @wakoson3203 2 ปีที่แล้ว +1

    Thank you so much, you really helped me, be blessed

  • @tinyairplane
    @tinyairplane 4 ปีที่แล้ว +1

    Fantastic video. Thanks

  • @dominikusdenisd6653
    @dominikusdenisd6653 5 ปีที่แล้ว +1

    This is very helpful, i couldnt understand but after watching this i get it

    • @SimpleMath
      @SimpleMath  5 ปีที่แล้ว

      Glad I could help!

  • @mags5998
    @mags5998 3 ปีที่แล้ว

    Thank u sir ur doing God’s work

  • @AlexandraAppleby
    @AlexandraAppleby 7 หลายเดือนก่อน

    Thanks for this! Hopefully this will save me from failing my exam I have in two hours :)

  • @sayat1k
    @sayat1k 10 หลายเดือนก่อน

    amazing!!! u saved my mid term exam

  • @chinua3337
    @chinua3337 4 หลายเดือนก่อน

    Thank you, this video was extremely helpful!😃

  • @monyleibolguotchan2614
    @monyleibolguotchan2614 2 ปีที่แล้ว

    It's very clear & understood... But where did you get 1 & how come?

  • @ashadsouza5052
    @ashadsouza5052 ปีที่แล้ว

    Thanku so much buddy you saved my time and cleared my doubt .lots of love bro

  • @diy-projects
    @diy-projects 5 ปีที่แล้ว +2

    thank you so much

  • @jesusbermudez6775
    @jesusbermudez6775 10 หลายเดือนก่อน

    Yes, this was informative. I've seen many videos on derivates, but as yet I do not know why they are called derivates.

  • @coryshinn5764
    @coryshinn5764 2 ปีที่แล้ว

    Would you have to rationalize the denominator in problem #4?

  • @sanghyukcho4571
    @sanghyukcho4571 3 ปีที่แล้ว

    Very intuitive!

  • @harithimran4401
    @harithimran4401 3 ปีที่แล้ว +1

    sir...do u also make vid abt 1st derrivative test,2nd.....,concavity n so on...hope u also teach those topic

  • @brinsonwyche9388
    @brinsonwyche9388 ปีที่แล้ว

    I learned so much thank you

  • @rodneyyt-lf4rd
    @rodneyyt-lf4rd ปีที่แล้ว

    helped a lot, much appreciated

  • @GUCHARVEIS
    @GUCHARVEIS 3 ปีที่แล้ว

    Thanks this was very helpful

  • @nobody-hb4vi
    @nobody-hb4vi 3 ปีที่แล้ว

    10:37 can you simplify this a little further by rationalizing the denominator?

  • @violajohnpaulg.2922
    @violajohnpaulg.2922 ปีที่แล้ว

    Thank you, Sir!

  • @idonthaveusername9907
    @idonthaveusername9907 ปีที่แล้ว

    thanks bro best video out there!!!

  • @bernardkoh9011
    @bernardkoh9011 ปีที่แล้ว

    thanks man really a big help

  • @hasansheikh3063
    @hasansheikh3063 4 ปีที่แล้ว +1

    thanx sir so important for me

  • @shinahyeji509
    @shinahyeji509 5 ปีที่แล้ว +5

    And I actually understood this. But how about the ones with trig functions. 🖒

  • @jordanearl5449
    @jordanearl5449 3 ปีที่แล้ว

    YOU ARE A GOD SIR TY.

  • @eroy5448
    @eroy5448 ปีที่แล้ว

    when x has a value of 2 for example, do you still apply the same process?

  • @james9612
    @james9612 2 ปีที่แล้ว +1

    this guy is a legend

  • @causeoflava
    @causeoflava 3 ปีที่แล้ว +1

    Thank you!

  • @mayukhpramanik2942
    @mayukhpramanik2942 หลายเดือนก่อน

    Thank You very much ... That makes it lot clear ^-^

  • @emiliano8142
    @emiliano8142 4 ปีที่แล้ว +1

    this guy is the goat

  • @high5smacker514
    @high5smacker514 4 ปีที่แล้ว

    On the side of my question it says (x=-1) what shoes that mean?

  • @seonghoonahn128
    @seonghoonahn128 3 ปีที่แล้ว

    thank you for your lecture

  • @sayan471
    @sayan471 4 ปีที่แล้ว +1

    Any notice a pattern of the original equation and the answer

  • @zhenwu5778
    @zhenwu5778 4 ปีที่แล้ว +3

    Thank God for this video!!

  • @bobbysoumik4626
    @bobbysoumik4626 2 ปีที่แล้ว +1

    Can you explain how and why 'f' is replaced by 3 (or any other constant). As much I know 'f' is the name of a particular function, then how it is replaced?!?! 🙂

  • @niceguy4801
    @niceguy4801 ปีที่แล้ว

    Thank you sir!

  • @summermeadows5898
    @summermeadows5898 2 ปีที่แล้ว

    Thank you!!

  • @triciamejia5372
    @triciamejia5372 4 ปีที่แล้ว +2

    thank you

  • @reducereuse2184
    @reducereuse2184 4 ปีที่แล้ว +1

    Thank you

  • @luismiguelvillarrealrodrig2190
    @luismiguelvillarrealrodrig2190 4 ปีที่แล้ว

    Thanks!

  • @niers4060
    @niers4060 2 ปีที่แล้ว

    i have a doubt about the result of number 4 where does the 2 radical X appear and how?

  • @kayo9333
    @kayo9333 ปีที่แล้ว

    Thank you so much.......

  • @ilsucicek2799
    @ilsucicek2799 ปีที่แล้ว

    seriously thank you

  • @karpsan2523
    @karpsan2523 2 ปีที่แล้ว +1

    How would you solve for the derivative of x^(2x) using this method? I've thought of doing that just for fun but ended up wasting more than 2 hours with no signs of success.

    • @paulsavala
      @paulsavala 2 ปีที่แล้ว +1

      That's using something called "logarithmic differentiation", which is where you first take log of both sides, and then take the derivative. That's a more advanced topic, and generally tricky to do using the limit definition of the derivative. Good job on trying it though!

  • @jonanddy
    @jonanddy 4 ปีที่แล้ว +3

    I have a quiz in one hour. Thank you!

    • @sethromo7750
      @sethromo7750 4 ปีที่แล้ว +1

      dude same xD

    • @trebletrouble1348
      @trebletrouble1348 4 ปีที่แล้ว +2

      full blown test that im finna fail but now thanks to vid i fail less terribly

  • @jaiziacinthchekimmanugas6357
    @jaiziacinthchekimmanugas6357 2 ปีที่แล้ว +1

    Thank you somuch