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October 2nd, 2011, 06:37 PM   #1
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Derivative and table of values

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.
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October 2nd, 2011, 07:22 PM   #2
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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:













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October 2nd, 2011, 07:37 PM   #3
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Re: Derivative and table of values

wow.
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