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AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

Monday, November 21, 2005

Forget me not

"I write down everything I want to remember. That way, instead of spending a lot of time trying to remember what it is I wrote down, I spend the time looking for the paper I wrote it down on."
Beryl Pfizer

We started the day by going into groups to answer the given question. The question was about graphs of different function and we had to determine which function is parent function, the derivative and the second derivative. After figuring out which is which, we had to explain why we made the decision. After the group discussion, Mr. K gave us problem in the board that asked us to differentiate equations. We learned how to differentiate implicitly. We know that we should use this form when functions are not in the form y=f(x).

ex.)
x^2 + y^2 = 4 <-----------------differentiate using the tools we learned before
2x+2yy' = 0 <--------------- chain rule for differentiating y because there might be an inner function, we just don't know what it is.
yy'/y = -x/y
y'=-x/y

To conclude, differentiating implicitly is used when the function is not in the form y=f(x). We have to remember to use the chain rule when differentiating the y. Also remember not to make little mistake like the negative signs.


Just Remember to not to Forget!!



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1 Comments:

  • At 7:41 PM CST, Blogger Mr. Kuropatwa said…

    Good post; I really liked that quote. It was a great way to start off your writing. ;-)

     

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