Tutor.com The Derivative Session

May. 9, 2012

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Session Transcript - Math - Calculus, 5/6/2012 10:33PM - Tutor.comSession Date: 5/6/2012 10:33PM
Length: 17.8 minute(s)
Subject: Math - Calculus


System Message
[00:00:00] *** Please note: All sessions are recorded for quality control. ***

Guest (Customer)
[00:00:00] f(x)=(1-x)(x^(2)-6)^(2) ;(3,-18)

Julie N (Tutor)
[00:00:10] Welcome to Tutor.com ! How can I help you today?

Guest (Customer)
[00:00:33] Hi, Thanks

Julie N (Tutor)
[00:00:40]
[00:00:50] So what type of question goes with this lovely function?

Guest (Customer)
[00:01:08] My problem is asking for the tangent equation of the given points

Julie N (Tutor)
[00:01:15] Great!
[00:01:19] What was your first move?

Guest (Customer)
[00:01:23] i have started but i'm stuck

Julie N (Tutor)
[00:01:34] Alright, show me where you left off

Guest (Customer)
[00:01:39] i'll put what i have so far on the board

Julie N (Tutor)
[00:01:54] Sounds wonderful
[00:02:38] Beautiful!
[00:03:07] Can I make a quick suggestion?

Guest (Customer)
[00:03:11] ok

Julie N (Tutor)
[00:03:35] If you want, you can use your "first line" to find the value of the derivative
[00:04:00] It looks like you're about to distribute everything to come up with a polynomial, but in this case it is not necessary.

Guest (Customer)
[00:04:09] really?

Julie N (Tutor)
[00:04:17] Yep
[00:04:45] All you would be doing by distributing is rewriting the same expression without parenthesis

Guest (Customer)
[00:04:53] ok

Julie N (Tutor)
[00:04:58] But in doing so, you leave a lot of room for silly errors

Guest (Customer)
[00:05:02] ok

Julie N (Tutor)
[00:05:08] I only clean it up about this far...
[00:05:52] then I would put in my value for x

Guest (Customer)
[00:06:18] oh, ok

Julie N (Tutor)
[00:06:22]
[00:06:36] It's a bit of a time-saver

Guest (Customer)
[00:06:41] i see!

Julie N (Tutor)
[00:06:47] Awesome!
[00:08:00] Wait... how did you get -21?

Guest (Customer)
[00:08:18] sorry i was suppose to *

Julie N (Tutor)
[00:08:24] I think you accidentally added the 3 instead of multiplying
[00:08:26] Yep
[00:09:19] Lovely!
[00:09:34] Great!
[00:10:01] NOw what would you like to do?

Guest (Customer)
[00:10:42] i'm not sure, is there another step?

Julie N (Tutor)
[00:11:05] What was the final question that you were asked? Always look back to that.

Guest (Customer)
[00:11:30] the tangent equation

Julie N (Tutor)
[00:11:46] Great! So right now, what piece of the tangent equation did we find?

Guest (Customer)
[00:11:57] the slope

Julie N (Tutor)
[00:12:06] Great!
[00:12:16] So now we just have to write our equation.

Guest (Customer)
[00:12:36] ok

Julie N (Tutor)
[00:12:59] I love that you're using point-slope form
[00:13:06] That's awesome!!
[00:13:35] Perfect!!!
[00:15:05] Great work!

Guest (Customer)
[00:15:15] thanks

Julie N (Tutor)
[00:15:40] Always make sure to check the final question before you move on.

Guest (Customer)
[00:15:48] ok will do

Julie N (Tutor)
[00:16:23] Is there anything you need clarified from this evening?

Guest (Customer)
[00:16:46] no you have helped me a lot!

Julie N (Tutor)
[00:16:51] Great!
[00:16:56] I'm happy to have helped!
[00:17:04] Thanks for using Tutor.com. Please fill out the survey as you leave so we can learn how we can better help you in the future! 

Guest (Customer)
[00:17:06]
[00:17:07] ok
[00:17:11] bye bye

Julie N (Tutor)
[00:17:16] Have a lovely evening!

Guest (Customer)
[00:17:20] u too!

Julie N (Tutor)
[00:17:25] Thanks

Guest (Customer)
[00:17:34] yw!