Welcome to Mrs. Young's calculus class blog! Each week, I will start a new post. Students, you can write questions for me or chat with each other about how to solve a particular problem. As part of your class participation grade each week, every student must comment at least once to my post or another student's comment. I look forward to spending this year with you. Enjoy!

Sunday, January 20, 2013

January 21st - January 25th

I hope you are enjoying your 3-day weekend! For this week, watch the video to the right about the Fundamental Theorem of Calculus, which we are going to learn about this week. The fundamental theorem of calculus lets us evaluate an integral in order to find the exact area under a curve. The instructor in the video talks about something called the "antiderivative", which is an important part of evaluating an integral. My first question is: What do you think is the antiderivative of y = 2x? The first person to respond with the correct answer will receive a couple points extra credit. Then, once we've discussed antiderivatives in class, I would like everyone to give me one example of a function and that function's antiderivative.
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12 comments:

  1. UnknownJanuary 22, 2013 at 11:36 AM

    antiderivative is y=X^2.

    y=3x^2 -> y=x^3

    ReplyDelete
  2. Mrs. YoungJanuary 22, 2013 at 11:43 AM

    Good job DaSom! You will receive 2 points extra credit.

    ReplyDelete
  3. rachel schillingJanuary 24, 2013 at 8:55 AM

    function: y=3x^2
    antiderivative: y=x^3

    ReplyDelete
  4. Grace HillJanuary 24, 2013 at 10:37 AM

    Example of a function: 4x^3+6
    Example of the antiderivative: x^4+6x

    ReplyDelete
  5. UnknownJanuary 24, 2013 at 1:04 PM

    function: 2x-9
    antiderivative: x^2 - 9x

    ReplyDelete
  6. jacob eversoleJanuary 25, 2013 at 5:14 AM

    function: 2x^2-3
    antiderivative: ((2/3x)^3)-3x

    ReplyDelete
  7. Daniel BurketJanuary 25, 2013 at 9:41 AM

    function: y=4x^3+2x
    antiderivative: y=x^4+x^2

    ReplyDelete
  8. Carly CannonJanuary 25, 2013 at 10:23 AM

    function: cos(x)
    antiderivative: sin (x)

    ReplyDelete
  9. BenIvanJanuary 25, 2013 at 10:23 AM

    f(x)= 100x^4

    F(x)= 20x^5

    ReplyDelete
  10. AnonymousJanuary 25, 2013 at 10:26 AM

    Function: 6x^3+3x^2
    Antiderivative: (3x^4/2)+x^3

    ReplyDelete
  11. SarahDunn2013January 25, 2013 at 10:33 AM

    function: 6x-24x^3
    Antiderivative: 3x^2-6x^4

    ReplyDelete
  12. Isaac BarringerJanuary 25, 2013 at 10:38 AM

    function: 1000000x^3-10000000000000000000000000
    anti derivative: (1000000x^4)/4- 10000000000000000000000000x which is the same as 250000x^4 - 10000000000000000000000000x

    ReplyDelete

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