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-   -   Derivative and table of values (http://mymathforum.com/calculus/21430-derivative-table-values.html)

rk183 October 2nd, 2011 06:37 PM

Derivative and table of values
 
1 Attachment(s)
Hey guys, I missed a day of class last week and I can't seem to do this problem in the attached file from the text, I don't really know where to begin. I know it has something to do with first fundamental theorem of calculus. If someone could show me the approach I would really appreciate it, it's been bothering me all weekend.
Thanks.

MarkFL October 2nd, 2011 07:22 PM

Re: Derivative and table of values
 
I think I would treat this as a series of initial value problems.

For we have:

,







For we have:

,







Because the slope is constant here, we may use:



For we have:

,

















For we have:

,







Thus, we have:














aaron-math October 2nd, 2011 07:37 PM

Re: Derivative and table of values
 
wow.


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