Calculus - Finding higher derivatives

This video covers the idea of taking higher derivative. After taking one derivative, you can take a derivative of a derivative to get the second derivative. Pay close attention to the notation for these higher derivatives so you know how many derivatives to take. For more videos please visit www.mysecretmathtutor.com

Пікірлер: 34

  • @pritychattaraj9648
    @pritychattaraj96483 жыл бұрын

    Your Mathematics is brilliant . Thank you for help!

  • @johnnydough4048
    @johnnydough40487 жыл бұрын

    so you're telling me, it's that fucking easy?! Why doesn't my teacher teach like you! :'(

  • @abovethesky6142
    @abovethesky61429 жыл бұрын

    That helped me a lot!! Thank you

  • @nevm5776
    @nevm57762 жыл бұрын

    quick question and need answer asap!! On the video at 9:14 you have only a single number which is 8 and you wrote it down for the final answer,,,, While i have 5 of doubles digits on the one im trying to solve... should I add those 5 together?

  • @citlali12345
    @citlali123457 жыл бұрын

    Thank you!

  • @dominiceustacelacuna914
    @dominiceustacelacuna9147 жыл бұрын

    Thanks!!

  • @PaulMpanza-ti5jl
    @PaulMpanza-ti5jl Жыл бұрын

    Can someone explain me that 5v to the power came from

  • @aneeshsrinivas892
    @aneeshsrinivas8925 жыл бұрын

    what were they thinking with the higher order derivitive notation f^(n)(x).parentheses do not make enough of a difference(eg:if say f^(2x+1)(x) do i mean d^2x+1/dx^2x+1(f(x)) or (f[x])^2x+1). and what is wrong with saying something like f^4′ (x) for 4th derivitive.

  • @justabunga1

    @justabunga1

    4 жыл бұрын

    Aneesh Srinivas the parentheses around the number on the superscript means you are taking the nth derivative of a function. If it’s without a parentheses, that means you are taking the function raised to whatever power it is except for the -1 exponent. The -1 exponent is the inverse function just like inverse trig. And inverse hyperbolic trig (or using the prefix arc and ar respectively).

  • @UltraMaan21
    @UltraMaan217 жыл бұрын

    thank you so much

  • @kamaljitkaur4834
    @kamaljitkaur48347 жыл бұрын

    you should also provide proof of formulea using mathematical induction

  • @dhatridongre8849
    @dhatridongre88496 жыл бұрын

    What if you expand the first derivative and then take its derivative, will you get the same answer?

  • @BEFreda

    @BEFreda

    6 жыл бұрын

    Yes, you will. I did it that way (after pausing the video) then restarted it and saw that he did it differently. So I crossed out my answer and did it his way...but then when I went back to my first answer, it was the same.

  • @chrislloyd123
    @chrislloyd1238 жыл бұрын

    thanks

  • @samud7041
    @samud70415 жыл бұрын

    Guys how do l get a pattern or formula l can use to obtain the nth term,,surely it will be time consuming to find the 25th derivative using the tutor's method....please help

  • @justabunga1

    @justabunga1

    4 жыл бұрын

    That depends on what function you are talking about. e.g, the 25th derivative of sin(x) is cos(x). For the 25th derivative of 2^x, it will be 2^x(ln(2))^25.

  • @sandhyaranidas1005
    @sandhyaranidas10053 жыл бұрын

    Thank you sir

  • @markovolk9800
    @markovolk98009 жыл бұрын

    what do you use higer derivatives for!!

  • @johnmichaeltwist5086

    @johnmichaeltwist5086

    9 жыл бұрын

    Marko Volk Engineering, Physics, Mathematics.

  • @johnnydough4048

    @johnnydough4048

    7 жыл бұрын

    ABSOLUTELY NOTHING (Unless you're becoming a scientist, engineer, mathematician, or just trying to pass the subject like me)

  • @anastasiaanautodidact9856
    @anastasiaanautodidact98563 жыл бұрын

    Can I ask something really necessary? How does all of those derivatives operate on graphs? My brain is antagonized trying to understand how a derivative can be derived from itself graphically 😅💔 Isn't a derivative basically another way of saying "the tiny difference in the 2 outputs w.r.t the two inputs" till they *almost* are one point? How do I take the derivative of literally one point graphically? I have trouble understanding that Or is it that we get a whole new function with a different slope graphically so we can derive sth from that new function? But still how?

  • @MySecretMathTutor

    @MySecretMathTutor

    3 жыл бұрын

    This video might help out a little bit: kzread.info/dash/bejne/e3-stcqbosa7mLQ.html Basically you can look at the instantaneous rate of change at each point, and plot it on a new graph. This is the graph of the derivative. :^D

  • @anastasiaanautodidact9856

    @anastasiaanautodidact9856

    3 жыл бұрын

    @@MySecretMathTutor I'll be sure to check it out👌🏻

  • @shariqshaikh5715
    @shariqshaikh57153 жыл бұрын

    Is high derivative and High order derivative are same?

  • @MySecretMathTutor

    @MySecretMathTutor

    3 жыл бұрын

    Yes. We will sometimes say "second order" derivative or simply a "second" derivative by they are the same. :^D

  • @justabunga1
    @justabunga14 жыл бұрын

    The notation is wrong when writing 4th derivative or higher. f^4(x) means (f(x))^4. This is a function raised to the fourth power. f^(4)(x) means you are taking the fourth derivative of a function. Note how the parentheses is used around the number in the superscript.

  • @MySecretMathTutor

    @MySecretMathTutor

    4 жыл бұрын

    I find most people are not picky on putting parenthesis around the power as long as its understood these are higher derivatives. A similar thing happens when using the inverse notation for a function.

  • @justabunga1

    @justabunga1

    4 жыл бұрын

    MySecretMathTutor yep exactly. I also forgot to mention for others for the use of parentheses. The parentheses around the negative number means you are doing anti-differentiation or integrating (whether it's an indefinite or definite integral) n times. If it’s without the parentheses, it means you are taking the reciprocal first and then raise this to whatever power it was given i.e. 1/(f(x))^n except for the -1 exponent (e.g. inverse sine of x to mean arcsin(x) and inverse hyperbolic sine of x to mean arsinh(x)).

  • @reynaldoespino9613
    @reynaldoespino96133 жыл бұрын

    galing

  • @mbusomabuza7273
    @mbusomabuza72739 жыл бұрын

    best

  • @iandava5186
    @iandava51865 жыл бұрын

    Only simple examples 🙁

  • @ebrimadem5287

    @ebrimadem5287

    5 жыл бұрын

    Ian Dava Exatcly

  • @erikw113
    @erikw1134 жыл бұрын

    Why does every video start off with cosin or e fuck

  • @MySecretMathTutor

    @MySecretMathTutor

    4 жыл бұрын

    These tend to be some of the "nice" derivatives to look at if you are taking multiple derivatives. If you have something more complicated, then the tough job comes to keeping track of all of the pieces. :^D