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 15, 2012
Week 3
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 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, I would like everyone to give me one example of a function and that function's antiderivative.
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y=X^2
ReplyDeleteGood job Aiden, you have received a couple points extra credit. You still need to give me another example of a function and its antiderivative to receive the full points for this week's post.
ReplyDeleteLike the antiderivrtive of y=4x^2 is y=(4/3)x^3
ReplyDeleteThe answer to first question is y=x^2.
ReplyDeleteThe second part of the answer is y=10x^3 and antiderivative is (5/2)x^4.
The anti derivative of 2x^3 is 1/2 x^4
ReplyDeleteThe answer of the first question is y= x^2.
ReplyDeleteThe anti-derivative of y=4x^3 is x^4.
The antiderivative of y=2x is y=x^2.
ReplyDeleteThe antiderivative of y=6x^5 is y=x^6
answer of first question:x^2
ReplyDeleteexample of function is y=3x^2
the anti-derivative of above function is x^3
the antiderivative of y=2x is y=x^2
ReplyDeletethe antiderivative of y=3x^2 is y=x^3
To answer the first question, the antiderivative of y=2x is y=x^2. Another example: the antiderivative of y=5x^4 is y=x^5.
ReplyDeleteThe answer for the question is y = x^2
ReplyDeleteThe antiderivative of y = 7x^3 is 7/4x^4
The answer is x^2
ReplyDelete4x^3's antiderivative is x^4
The antiderivative of 5x^4 is x^5
ReplyDeleteF(x)=x^2............
ReplyDeleteY=Secx tanx dx-F(x)=secx