Today in class we started out with a homework check which reviewed HW 4.3 which was about the product and quotient rule (and some chain rule, too). After we finished the check, we went over problem 10 on the homework so that we could simplify it together. By finding the GCF and factoring, we were able to simplify the answer by a lot. Next, we took notes on 4.5 which refreshed us on domain and range, and a little bit of trigonometry. We also took notes on the derivatives of the six Inverse Trig Functions. After notes, Ms. Sommariva gave us a practice work sheet to do as well as our homework which is HW 4.5 and the 2003 FRQ. If you didn't finish the practice work sheet, that is homework as well.
-Dani
Monday, December 16, 2013
12/4/2013
In class, we took two concept tests - 9 and 10 - which were on . Then we answered questions about the chain rule worksheet and went to work on the take home review, in preparation for Chapter Test Three.
Wednesday, December 4, 2013
Class Minutes 12/2/13
Today in class, we used the power rule to derive a position equation into a velocity equation in order to find the time at which velocity equaled zero.
Next we did the Continuity and Differentiability worksheet.
A fxn is continuous at a point if:
f(c) exists
lim(x-->c) f(x) exists
f(c) = lim(x-->c) f(x)
A function is differentiable at a point if it is not a cusp and if f '(c) exists.
We learned how to make a piecewise fxn differentiable at a value when solving for k.
In order to do this you derive both fxn's of the piecewise fxn and set them equal to each other. Then you solve for k and plug it back into the original piecewise fxn.
Finally, at the end of class we learned the derivatives of the six trig fxn's.
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