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Math Help - Linear Approximation

  1. #1
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    Linear Approximation

    Use a linear approximation (or differential) to estimate the given number.

    (2.001)^5 (sorry this is in calculator notation which is referring to an exponential)

    i know the linear approximation formula is L(x)= f(a) + f'(a)(x-a)
    but I'm not quite certain what I'm supposed to do in order to solve this one. please help
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  2. #2
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    Quote Originally Posted by mlckb1 View Post
    Use a linear approximation (or differential) to estimate the given number.

    (2.001)^5 (sorry this is in calculator notation which is referring to an exponential)

    i know the linear approximation formula is L(x)= f(a) + f'(a)(x-a)
    but I'm not quite certain what I'm supposed to do in order to solve this one. please help
    f(x+h) = f(x) + hf'(x).

    In your problem f(x) = x^5, x = 2, h = 0.001.
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