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2011 AP AB Calculus Ch. 3 (Derivatives)
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9/19/2011 09:03:04 am
Does anyone understand the graphs at all?
9/19/2011 11:50:29 am
Yes, you find the derivative of f(x), I'm assuming that #7 is f(x) = x^2, 8 is x^3, 9 is cosx, and 10 is x^4. So instead of plugging a point you just put in x's and h's. Then, you'll have an equation at the end. Say the equation is 2x. You would look for the graph of 2x (letter b) and make it the answer of the corresponding number. Does anyone know how to do number 9 though? I can't figure out how to get h out of cos(x+h)-cos(x)/h
9/19/2011 12:41:47 pm
Psych, number 10's regular function graph is actually f(x) = something . . don't know what
9/19/2011 12:58:32 pm
For number 1
9/19/2011 02:01:07 pm
I'm confused on number one, I think you plug in f(2) for (x) and have the equation = 5, but I don't think it gives you the right answer.
9/19/2011 03:51:06 pm
for number one a. use the fact that the derivative of a point is the slope at that point. So, you have the slope of a line and a point is passes through (f(2)=3 is the point)
9/19/2011 03:58:10 pm
Thanks Court, that makes more sense now!
9/20/2011 01:34:09 am
how do you do number 15 if they don't give you an actual equation?
9/20/2011 09:32:56 am
how do you do #17 ?
9/20/2011 11:07:12 am
Dan for #15, i think they're asking us to estimate.
9/20/2011 12:30:11 pm
Dan, for #15 you look at the graph, notice it is going from convex to concave. Since you know the slope is 0 aroung Junuary 1 and July 1 the middle of that has to have the greatest slope. And than to find the slope take the y values from March 15-April 15 and divide it by the x values, the number of days in a month (30).
9/20/2011 12:42:43 pm
Heli, for #17 a. you look at the top graph and see where its y-values are the highest (40,2200) and the lowest (150,100). After that look at the bottom graph, find those two x-values and notice where they are located (what is the y-value).
9/20/2011 03:06:50 pm
got it! thanks!
9/21/2011 12:24:38 pm
What is NDER...
9/21/2011 03:10:55 pm
NDEr is the numerical derivative of f. it shows this on page 108. for # 27 how is the answer tan(x)?
9/21/2011 03:19:56 pm
9/21/2011 03:20:28 pm
Haha, I need to refresh my page, sorry Andrew
9/22/2011 10:48:11 am
For #5 I tried using the quotient rule but then I ended up getting a really weird answer. Did anyone else use the rule and get the right answer??
9/22/2011 10:54:17 am
Ooops nvm. I didn't apply the rule correctly. i got it now
9/22/2011 10:59:58 am
for #15, you use the quotient rule right? Or do you have to use the product rule first for the top, then the quotient rule?
9/22/2011 11:11:50 am
Yeah so i tried 11 twice and for some reason i came up with two different answers (like for a and b) both times... is there anyway i can just like see the process someone else used?
9/22/2011 11:31:42 am
Kelsey: Yea for #15 i simplified the top first and then i used the quotient rule.
9/22/2011 11:34:33 am
Vashista, Okay that's what I did, but i got a different answer than what the book says you're supposed to get... did thta happen to you? or did i mess up somewhere? Cause i did it twice... ?
9/22/2011 11:36:44 am
Ohh srry. i didn't check the answer yet.
9/22/2011 11:37:54 am
p.s. I'm so sorry I just realized I spelled your name wrong, sorry Vasishta
9/22/2011 11:38:37 am
LOL its ok
9/22/2011 11:41:34 am
Yea i have no idea for #15.
9/22/2011 11:56:17 am
Yeahh, and I'm having the same problem for 19 also... Does anyone else know how to do it if its not those?
9/26/2011 05:46:31 am
9/26/2011 05:48:34 am
9/26/2011 09:42:38 am
how do you do #15 and #16 from derivative worksheet ?
9/26/2011 10:33:30 am
Heli: For number 15 u have to use the power rule. So u would have
9/28/2011 08:40:02 am
how do you do #15 from 3.4 ?
9/28/2011 11:46:19 am
can anyone explain how to do 28 29 and 31? i get everything for the most part but how to do those?
9/28/2011 01:34:07 pm
9/28/2011 02:34:43 pm
Dan, for 29, if you look at C, you know that the derivative of C looks like B, and the derivative of B looks like A.
10/3/2011 10:59:14 am
Can anyone explain the chain rule because I am so lost
10/3/2011 11:15:56 am
for # 24 for 3.6, do we just use the chain rule? or is it like the product rule for both parts of the equation?
10/3/2011 03:46:16 pm
10/8/2011 07:08:47 am
so for number 17 can someone explain it? having y as the argument is confusing me the problem's x= tan y
10/15/2011 06:12:44 am
For number 6 on the worksheet.
10/17/2011 11:31:06 am
can someone please tell me what assignment we're on? i was out sick today
10/17/2011 02:05:45 pm
sam, 3.8 p. 162, 1-17 odd.
10/20/2011 10:49:51 am
This might be a really stupid question, but how do we know when to use the formal or alternate derivative definition?
10/20/2011 11:59:27 am
Just like in one of our warm ups today. It will tell you in the instructions if you have to use the formal derivative definition.
10/20/2011 01:11:42 pm
But what if it doesn't? And don't you use the alternate one for points?
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Mrs. Johnson teaches math at Metea Valley High School in Aurora, IL.