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Math Help - Having some trouble. Estimate the slope of the tangent line.

  1. #1
    Junior Member
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    Having some trouble. Estimate the slope of the tangent line.

    I've been given a table of values and I have to estimate the instantaneous velocity at t = 2002. I can do this by averaging two secant lines, but it wants me to measure the slope of the tangent. Here's the table.

    t | N
    1996 | 44
    1998 | 69
    2000 | 109
    2002 | 141
    2004 | 182
    2006 | 233


    I really have no idea where to start.
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  2. #2
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    Here is one way to get a rough approximation:

    f'(2002) is approximately \frac{f(2004)-f(2002)}{2004-2002}.
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