2023 AP Calculus AB FRQ #6

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  • Опубликовано: 21 авг 2024
  • 2023 AP Calculus AB Exam Free Response Question #6
    Implicit Differentiation
    Topics: implicit (d/dx); horizontal tangent line; vertical tangent line; related rates (d/dt)

Комментарии • 25

  • @jonathanthai6241
    @jonathanthai6241 Год назад

    For 6d, I used dy/dt = dy/dx * dx/dt to arrive at the same solution; sub in (1/2, -2) for x and y respectively in the dy/dx equation to find that part, then subbed in 2/3 for dx/dt; a lot less messy than doing imp diff with product rule again

    • @turksvids
      @turksvids  Год назад

      yeah, it's a good move. didn't occur to me at the time.

  • @Zoomer9927
    @Zoomer9927 Год назад +1

    for the last one you only need to find dy/dx at that point which is -4/3 and multiply it by dx/dt which is 2/3 and the dx cancel out giving dy/dt which is -8/9

  • @Leslie-lt5qr
    @Leslie-lt5qr 3 месяца назад

    for d would we have to put units or not? for example dy/dt= -8/9 units per second

  • @ashtonhoff6476
    @ashtonhoff6476 Год назад +1

    I solved for x on the exam and did some nasty ass calculations 💀

    • @turksvids
      @turksvids  Год назад

      yeah, it was an option...i wanted no part of that square root that was going to show up.

  • @Rishkapish
    @Rishkapish Год назад +1

    for 6b and 6c, I got the right answers but for horizontal I accidently solved for vertical and vice versa. would I get no points or just like partical credit for a mistake?

    • @theparrot271
      @theparrot271 Год назад

      I'm almost positive no points. When they grade by guidelines they look at single question individually for specific equations/explanations from what I understand.

    • @firozarahman6796
      @firozarahman6796 Год назад

      Ooo, not sure. AP readers would probably discuss that situation. Hopefully they grade in your favor.

    • @turksvids
      @turksvids  Год назад

      there's a chance you get some points depending on what kind of work you did. we'll never know, but hopefully you've got enough points on the exam to get the score you want!

  • @theparrot271
    @theparrot271 Год назад

    Why not just multiply dy/dx by dx/dt on part d and evaluate that on the given point? Am I missing something?

    • @turksvids
      @turksvids  Год назад

      nope, it's a great method. better than what i did, but at least my approach works. (i wonder what the split is on people using one vs. the other approach.)

  • @727robotics
    @727robotics Год назад +1

    did we need units for the last part i got it right but didn’t put units

    • @727robotics
      @727robotics Год назад

      only question i missed on all frq was the vertical tangent 😭 i set up the equation just solved it wrong

    • @Rishkapish
      @Rishkapish Год назад

      yea I think u did. I FOROGT UNITS ALSO LMFAO. its j 1 point off

    • @firozarahman6796
      @firozarahman6796 Год назад

      No, only if they asked you to indicate units.

    • @turksvids
      @turksvids  Год назад

      @user87590 nah, if they don't mention that you need them, you don't need them.

    • @turksvids
      @turksvids  Год назад

      @user87590 awesome work, though!

  • @ashvinjaishankar3813
    @ashvinjaishankar3813 Год назад

    For 6d, could you also say that (dy/dt) = (dy/dx)*(dx/dt) to avoid redoing the differentiation?

    • @turksvids
      @turksvids  Год назад

      yeah, that's a great solution. it didn't even occur to me as i was solving this. (i guess in AB I tend to not think of that option, while on BC i would think it's the most obvious way to deal with parametrics...context matters in my brain!)

    • @ashvinjaishankar3813
      @ashvinjaishankar3813 Год назад

      @@turksvids I know what you mean - what you did in this video is generally how I would attack this problem in AB, but not in BC because of the context in parametric equations or polar coordinates.

  • @drewking5240
    @drewking5240 3 месяца назад

    zero cubbed not squared