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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.

Wednesday, November 16, 2005

What Happened in Class today....

First, like usual we answer some questions on the board. We're asked to differentiate different kinds of functions. On those questions we're able to differentiate functions using the power rule, the quotient rule, the product rule. Also, today we found out that eventhough we're finish with the calculus sometimes it's better to simplify it algebraically because most likely in a multiple choice question we would get the simplified answer in one of our choices.
Next, thing we learned and was added to our bank of derivatives was the chain rule:
The Chain Rule: [ f 0 g]' (x)= f'(g(x))*g'(x)
That's the Chain Rule, Mr. K didn't prove it to us yet. However checkout this site, this would show us the proof of the chain rule. Also, check this one too, this would also show us the proof of the chain rule.
Lastly, Mr. K showed us what's the derivative of ln x. d/dx lnx=?
e^lnx=x
e^ln x (d/dx ln x) = 1
x (d/dx ln x) = 1

d/dx ln x = 1/x

Basically, that's all we did today..... The next scribe is CJ.....




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1 Comments:

  • At 11:04 PM CST, Blogger Mr. Kuropatwa said…

    A great scribe Prince! Excellent use of colour.

    I thought the second link was easier to understand than the first one, but that doesn't mean that the proof is easy to understand. ;-) You have to read it really s l o w l y and carefully.

    Good job with this post!

     

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