We finished the exploration 4-2 on Friday. So basically we just checked our answers with Bru.
Firstly, let’s review the Quotient Rule!!!
I think this image just concludes the Quotient Rule. It is pretty straightforward.
Secondly, let’s take a look at the “Your Understanding” part of the package of the Quotient Rule. We went over this part of the package smoothly. The only issue we had was about question 3. In the “In words” part of part e, “As x gets arbitrarily close to 1, the function h(x) gets arbitrarily far from 0”, some people thought that instead of “far from 0” it should be far from 1, since (1,1) is the midpoint of the whole graph. Bru said both 0 and 1 works.
So now let’s turn the page over to Exercises. The 4 questions we talked about in the class are question 2, 4, 5 and 6. You can check the details in the slide show which Bru had posted two days ago. One reminder: Be aware of the composite functions. Don't forget the Chain Rule. Here I will just provide you the answers for the other 2 questions.
1. f '(x) = {(4x^3) * cosx - (x^4) *(- sinx)}/(cosx)^2
= x^3 (cosx + xsinx)/(cosx)^2
3. f '(x) = {(5cos5x)(8x-3) - 8sin5x}/(8x-3)^2
= {(40xcos5x-15cos5x-8sin5x}/(8x-3)^2
If you guys have any questions about my answers, please leave a comment.
Finally, I ask you guys to check out this YouTube clip.
http://www.youtube.com/watch?v=K3MxofAF-9o
This guy is left handed. I believe this YouTube clip will teach you the Quotient Rule again.
By the way, there are some extra credits. Check this link. You will see the problems.
https://docs.google.com/a/crms.org/viewer?a=v&pid=sites&srcid=Y3Jtcy5vcmd8Y2FsY3VsdXN8Z3g6NDMwNzcwYmY2ZTQ2MjE4Mg
There is a quiz on Monday about both Product Rule and Quotient Rule. Be Ready for that.
I feel there is nothing more to say.
So BlueElephant, you are up again.
Feel Free to live any comments!!
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