How calculus teachers create your exams

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  • Опубліковано 22 чер 2023

КОМЕНТАРІ • 59

  • @acttuskIV
    @acttuskIV Рік тому +61

    In differentiation : You are the boss
    In Integration : The Function is the boss

  • @sriprasadjoshi3036
    @sriprasadjoshi3036 Рік тому +72

    Now we all want you to solve this for us.

    • @BurningShipFractal
      @BurningShipFractal 10 місяців тому +1

      I put the integral part on the calculator website, and it said “Antiderivative or integral could not be found. Note that many functions don't have an elementary antiderivative.” , which means there is a solution, but we can’t express without integral, and therefore it is unsolvable.

    • @I_love_green622
      @I_love_green622 10 місяців тому

      ​@@BurningShipFractalNo. It's solvable on desmos Graphing calculator (if you add slider l)

    • @Carsaboy
      @Carsaboy 9 місяців тому

      ​@@I_love_green622then what's the written solution?

    • @I_love_green622
      @I_love_green622 9 місяців тому

      @@Carsaboy ITS A GRAPH

    • @thinktwice2x381
      @thinktwice2x381 6 місяців тому

      ​@@BurningShipFractalmost functions in math aren't elementary or linear. Just create transform it or find an equivalent fourier series.

  • @mandarbamane4268
    @mandarbamane4268 11 місяців тому +17

    0:54 * erased derivative *
    - Ah what a relief!
    0:57 * puts integral *
    - AAAAAAAAAAAAAAA....

  • @anonymousg4387
    @anonymousg4387 Рік тому +64

    I really enjoy maths at school and just started calculus. I hope one day I can solve something like this 😅

    • @sohidulislam6020
      @sohidulislam6020 Рік тому +3

      Are you a 9th grader

    • @thephysicistcuber175
      @thephysicistcuber175 Рік тому +20

      I doubt the integral on the bottom is analytically solvable. Otherwise the rest is just tedious calculation.

    • @datarioplays
      @datarioplays Рік тому +3

      @@thephysicistcuber175the integrand’s numerator is zero, so the integral is actually trivial

    • @thephysicistcuber175
      @thephysicistcuber175 11 місяців тому +4

      ​@@datarioplaysAre you sure? It looks to me like the numerator is sqrt(1-x^2)+x-pi/2.

    • @blythethorn5835
      @blythethorn5835 11 місяців тому +2

      @@thephysicistcuber175 If we're restricting to the reals, then there's no value of x for which the integrand is defined. sin^-1(x) is between -1 and 1, and sqrt(x) is only defined for x >= 0. So the integrand could only be defined for 0

  • @blythethorn5835
    @blythethorn5835 11 місяців тому +13

    Unless we allow complex numbers, the expression is undefined. Restricting to the reals, sin^-1(x) is only defined for x between -1 and 1, and sqrt(x) is only defined for x >= 0. So 1+sqrt(1+sqrt(x)) is not larger than 1 + sqrt(2). Since this is less than e, ln(sqrt(1+sqrt(1+sqrt(x)))) < 1/2, so ln(ln(sqrt(...))) < 0, so ln(ln(ln(sqrt(...)))) is undefined. This means there's no value of x for which both the numerator and the denominator in the integral are defined, so there's nothing to solve.

    • @human6638
      @human6638 11 місяців тому

      give the value for the complex numbers

    • @blythethorn5835
      @blythethorn5835 11 місяців тому +1

      @@human6638 Someone should definitely do that and it's not going to be me

    • @human6638
      @human6638 11 місяців тому

      @@blythethorn5835 true

  • @JakubS
    @JakubS Рік тому +12

    Can't wait for you to try to solve this in your next video :D

  • @howdoi_yt
    @howdoi_yt 11 місяців тому +3

    you're gonna make me cry Mr. Chow

  • @EpicStuntsGaming
    @EpicStuntsGaming Рік тому +11

    If there was no integral sign i would able to solve❤

    • @Aditya_196
      @Aditya_196 10 місяців тому

      Anyone can derivative are easy

  • @dinokiller9186
    @dinokiller9186 Рік тому +6

    And eventually they create problems they themselves can't solve🤣🤣

  • @ezxd5192
    @ezxd5192 11 місяців тому +1

    Can you talk about the grandi's series? I hate to believe that it equals 1/2 unless you say it

  • @Iamnotyou29
    @Iamnotyou29 Рік тому +5

    Dear bprp , we are still waiting for the solution.
    Yours forever
    XYZ

  • @Josh-ts7jj
    @Josh-ts7jj 9 місяців тому +1

    Then they wonder why there's 6 people left by the end of the semester and 2 of them are the TA/SI

  • @ivailogeorgiev1389
    @ivailogeorgiev1389 10 місяців тому +5

    You can definitely solve the derivative in the numarator but can anyone tell me if you can slove the integral on the denominator

  • @flamewings3224
    @flamewings3224 Рік тому +4

    When you changed derivative to integral, I am creamed.

  • @Euler0403
    @Euler0403 10 місяців тому

    And finally, differentiate the whole fraction.

  • @tornadot1182
    @tornadot1182 Рік тому +4

    It's just a joke. Please no one try to solve it.

  • @Iit200
    @Iit200 9 місяців тому

    Integration is so hard but I like your vedios

  • @Acs2004
    @Acs2004 Рік тому +1

    Now, can we have the solution please?

  • @ayushjha5812
    @ayushjha5812 Рік тому +5

    Everything was fine untill he put integral....

  • @gagandeep-uh4pr
    @gagandeep-uh4pr Рік тому

    Really 😂

  • @zahirulhuq6233
    @zahirulhuq6233 8 місяців тому

    It is undefined

  • @Loots1
    @Loots1 11 місяців тому

    you have to make a video answering it now

  • @thatomofolo452
    @thatomofolo452 Рік тому +1

    Simplify without products sum and In

  • @soso-dv9ny
    @soso-dv9ny 10 місяців тому

    Tried the equation

  • @auralilaorozcomontiel-bk6ww
    @auralilaorozcomontiel-bk6ww 11 місяців тому +1

    Plus three h minus x equal con sin x lol

  • @Joy-be3gk
    @Joy-be3gk Рік тому +3

    太好笑了!

  • @gosuhenke
    @gosuhenke 10 місяців тому +1

    LOL

  • @3D.Mystery99
    @3D.Mystery99 11 місяців тому

    Where did your beard go

  • @khoozu7802
    @khoozu7802 Рік тому +5

    If the denominator is cos(arcsin(x))-sin(arccos(x))
    Then we will know the answer immediately

    • @sohidulislam6020
      @sohidulislam6020 Рік тому

      Can you give the solution in detail here pls?

    • @khoozu7802
      @khoozu7802 Рік тому +3

      ​@@sohidulislam6020cos(arcsin(x))-sin(arccos(x)) is equal to zero, integral of zero=0x+c=c=some constant,
      so the question becomes finding the second derivatives of the numerator only, which is possible to solve but need a very long step.

    • @Ninja20704
      @Ninja20704 11 місяців тому +1

      @@khoozu7802can you explain y sin(arccos x)=cos(arcsin x)? I dont really see why or how. Thank you.

    • @khoozu7802
      @khoozu7802 11 місяців тому +1

      @@Ninja20704 draw 2 triangles with an angle(theta) by letting theta=arcsin(x) ➡️sin(theta)=x and letting theta=arccos(x) ➡️cos(theta)=x

    • @khoozu7802
      @khoozu7802 11 місяців тому

      @@Ninja20704
      For first theta u will get
      cos(theta)=cos(arcsin(x))=sqrt(1-x^2)
      For second theta u will get
      sin(theta)=sin(arccos(x))=sqrt(1-x^2)

  • @Limon-ne1qj
    @Limon-ne1qj 11 місяців тому

    Are you mad?????🤣🤣

  • @aboobakarmohammed1242
    @aboobakarmohammed1242 10 місяців тому

    Just hope teachers don't watch these videos 😂😊

  • @Vighnesh_Graphicdesinger
    @Vighnesh_Graphicdesinger 9 місяців тому

    Why doesn't he teach anything i would have liked to view his teaching videos

  • @AdibaJannat-vz3xt
    @AdibaJannat-vz3xt 8 днів тому

    Tui kor!!!