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Math Help - Using linear approximation

  1. #1
    Junior Member
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    Using linear approximation

    Suppose you have a function f(x) and all you know is that f(3) = 25 and the graph of its derivative is:

    http://img86.imageshack.us/img86/5896/sd...

    Use linear approximation to estimate f(3.1):


    any ideas?
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  2. #2
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    The derivative gives the rate of change of a function. From the graph, f'(3) = 3. This is a change of three units over one unit along the x-axis. you are going 3.1 - 3 = .1 units so you will have a change of .1[f'(3)].
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  3. #3
    MHF Contributor kalagota's Avatar
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    also note that,
    f(x) is approximated by f(x_0) + f ' (x_0) dx where x_0 = x - dx
    then use the data given by the previous post..
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