Differentiating Exponential Functions using the Chain Rule : ExamSolutions

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  • Опубліковано 6 жов 2024

КОМЕНТАРІ • 59

  • @nm841
    @nm841 7 років тому +39

    This guy better be getting most out of UA-cam ad revenue, hes the only one who deserves it lol

  • @4lukehi1
    @4lukehi1 11 років тому +7

    A year later and im still using your tutorials to get me through my degree, i owe my good grades to you!

    • @at.8449
      @at.8449 3 роки тому +4

      mate, I'm here a whole decade later lmao

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 років тому +2

    Good to have your support still.

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 років тому +2

    Good to hear. Time left for more revision then.

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 років тому +4

    Pleasure. I hope my other videos continue to help

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 років тому +3

    Thank you, thank you, thank you .....

  • @Duhmetoo
    @Duhmetoo 11 років тому +4

    Your videos have helped me so much. I cannot say thank you enough. Really.

  • @EpicEditsBySaz
    @EpicEditsBySaz 10 років тому +13

    THANK YOU SOOO MUCH!!!!!!!!

  • @dr.u-education
    @dr.u-education 4 роки тому +1

    Very important video. He inspired me as well. Good job!

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 років тому +3

    That is the rule for functions of the form ax^n not e^x

  • @climbbmilc93
    @climbbmilc93 11 років тому

    Your videos are put into a context which are really easy to understand!! thank you!

  • @blitsonray813
    @blitsonray813 2 роки тому

    My guy i know you probably wont read this but if you do, YOU ARE SAVING MY LIFE. YOU ARE THE MESSIAH!!!

  • @kitchentoolss
    @kitchentoolss 3 роки тому +1

    Well explained 👌

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 років тому

    @LovelyAnnKay Most kind. Thanks

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 років тому

    @LakASambooodee Not sure. I am trying to vary the tutorials I put up across the modules to give everyone something. Eventually it will be done but in 2 months - not sure.

  • @azamdeen
    @azamdeen 13 років тому

    i loved it very muchhh.. itz great.... tanxz very much Examsolutions....!!!!!!!!!! Im in debt to uuuu..... tanxz alot

  • @LOLMAN22
    @LOLMAN22 12 років тому

    great instructions, helps a lot!

  • @xxAnaconta
    @xxAnaconta 12 років тому

    really helpful video thank you so much

  • @sorc00
    @sorc00 8 років тому

    Thanks!

  • @LakASambooodee
    @LakASambooodee 12 років тому

    I know it's been said before, but thanks a lot. My class hasn't finished P3 (CIE maths) yet, and I'm using your vids as extra help/tutoring.
    Tell me, can P3 be completed in 2 months? Excluding past paper practice.

  • @ademeren6659
    @ademeren6659 11 років тому

    Thanks

  • @Halo2kido
    @Halo2kido 11 років тому

    thanks alot

  • @frenchbrie
    @frenchbrie 12 років тому

    would you be able to do one on differentiation of exponential functions (not just e, like differentiating 2^x or sth) and logarithmic functions?

  • @suzyoshawa1615
    @suzyoshawa1615 10 років тому

    excellent!!!!!!!

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 років тому

    @PinkyPurply Thanks for your support.

  • @Superbad4747
    @Superbad4747 9 років тому

    Hey, i think i have spotted a mistake, Surely the derivative of -5e^3x+2 will be -15e^3x+2. As you have said in some of your previous videos if y=e^ax+b then dy/dx = ae^ax+b... Look at 7.33 qs 3

  • @Tristan2709
    @Tristan2709 10 років тому

    Hi,
    I was just wondering with the chain rule, why do you always use the method of dy / dt x dt / dx. I thought the form dy / dx = n [ f (x) ] ^ (n-1) f ' (x) is a lot quicker and easier to do?

  • @sara33808
    @sara33808 9 років тому

    ExamSolutions hi can we write the first step as 6e^x by bringing the 2 to the front using the log rule of logb(mn) = n · logb(m).......your answer would be much appreciated!:D

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  9 років тому +1

      No you cannot do that.
      You could say ln y = ln [3 e^(x squared)] which then gives
      ln y = ln(3) + ln[e^(x squared)] which is then
      ln y = ln(3) + x^2
      You can then differentiate this implicitly but this is far too much work.

  • @florencefrimpong489
    @florencefrimpong489 10 років тому

    I know this video is the chain rule but can you differentiate using the quotient rule for question 4?

  • @nagadyasaudah6459
    @nagadyasaudah6459 4 роки тому

    Please with kind I didn't understand this topic well can you repeat it please

  • @jayagnihotri5807
    @jayagnihotri5807 9 років тому

    For the last stage is acceptable to have (5e^t) where you have (5e^-2x), since t was defined to equal -2x?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  9 років тому

      Jay Agnihotri Not really. I would encourage you to sub it back in.

    • @jayagnihotri5807
      @jayagnihotri5807 9 років тому

      ExamSolutions
      Ok thanks sir, will do.

    • @flowerpower487
      @flowerpower487 9 років тому

      Jay Agnihotri
      (Did you mean within the working)?

  • @PorkNippers
    @PorkNippers 10 років тому

    Surely the answer to (4) is 20e^-2x as (5e^-2x) dy/dx = (-2)(5e^-2x)= -10e^-2x which, multiplied by -2 would give 20e^-2x?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  10 років тому

      Not at all. The answer is correct.

    • @JessicaJKent
      @JessicaJKent 8 років тому

      I actually got this answer myself. (I know it's been a year so you probably won't care or will' expectations figured this out or whatever, but it bares stating) when he differentiates 5e^-2x, he's doing it with respect to t, which is -2x, however, t has no coefficients and -2x is not in terms of t, so y = 5e^t when we differentiate with respect to t comes out as dy/dt= 5e^t which is the same as 5e^-2x, I hope this clarifies for anyone else who got this result ☺️ I hope my explanation is clear 😅

    • @JessicaJKent
      @JessicaJKent 8 років тому

      +Ronnie Kent *will've how did auto correct, correct to THAT?!

  • @example100000
    @example100000 11 років тому

    you keep on using e to the power of...
    can you do equations with using e??

  • @glennpedrosa5529
    @glennpedrosa5529 9 років тому

    hi could please help me with these.given y=xe^-0.5 (x=summation of rational numbers).find dy/dx and show that y is equal to or less than k.please

    • @wesleyrichardson4940
      @wesleyrichardson4940 8 років тому

      +glenn pedrosa hey i can help you with this. The dy/dx is always gonna equals to the sum of the intercept of the equivalent notation from the summation of the two factors of -0.5 and the constant change in the interation between the two.

  • @kilbeboy
    @kilbeboy 10 років тому

    {e^(-3x) + e^3x}^12. So i my math teacher did this on board back some months ago. He used Chain rule on this one. Here is where i got confused. d(e^(-3x)+e^3x)^12 / d(e^(-3x)+e^3x) and the result he wrote was 12(e^(-3x)+ e^3x). But i am thinking it should be 12(e^(-3x)+ e^3x)^11. Who is correct ?!

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  10 років тому +1

      It looks like you are both wrong according to what you have written. The answer is [ 12(e^(-3x)+ e^3x)^11 ] [ -3e^(-3x)+3e^3x]

    • @yhen9014
      @yhen9014 8 років тому

      +ExamSolutions Is this a combination of the power rule with the chain rule? do we continue with the multiplication process?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  8 років тому

      +C Richardson It is the chain rule and the differentials of e^ax where a is a constant.

  • @thelawnguys93
    @thelawnguys93 12 років тому +1

    nope still dont get it :( i was sure it would help with all the great ratings but nope not for this guy

  • @blessingotuorimuo1385
    @blessingotuorimuo1385 11 років тому

    hi i cannot seem to find an intergration videos

  • @NortexG
    @NortexG 8 років тому +6

    So you've just completely confused me... Not what I learnt it my lesson.

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  8 років тому +2

      +NortexG - Art That's a shame. What did you learn in your lesson then. How does it differ?

    • @NortexG
      @NortexG 8 років тому

      +ExamSolutions so I'm assuming I learnt the basics to calculus by anyway, I was told to work out the derivative of say y= 2x^3 + x + 7 you times the power by the front number and take 1 of the power. So dy/dx would become 6x^2 + 1.

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  8 років тому +2

      +NortexG - Art That is correct but that is for very simple functions of the form ax^n. This is for more advanced functions and it seems that you have stumbled on this video which is further down the line from what you are learning.

    • @NortexG
      @NortexG 8 років тому

      +ExamSolutions ah okay, I'm still learning at GCSE further maths. Thanks for the reply!

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  8 років тому +6

      +NortexG - Art Okay. This is Advanced Level module C3 which is normally handled in year 13. Anyway. good luck with your course.

  • @yallainrooh3199
    @yallainrooh3199 9 років тому

    Making me want to fall a sleep,

  • @LondonWalkability
    @LondonWalkability 12 років тому

    get off the maths videos and go to videos on English.