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Math Help - Finding the value of a function using Taylor series

  1. #1
    Eng
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    Finding the value of a function using Taylor series

    hi

    i need the solution for this problem thanks... ;p

    Find the value of f(6) given that f(4)=125, f '(4)=74, f "(4)=30, f '''(4)=6 and all other higher derivatives of f(x) at x=4 are zero.(Use Taylor series)

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  2. #2
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by Eng View Post
    hi

    i need the solution for this problem thanks... ;p

    Find the value of f(6) given that f(4)=125, f '(4)=74, f "(4)=30, f '''(4)=6 and all other higher derivatives of f(x) at x=4 are zero.(Use Taylor series)

     f(x) = f(4)+f'(4)(x-4)+\frac{f''(4)}{2}(x-4)^2+\frac{f'''(4)}{6}(x-4)^3 .

    Now let  x=6 .
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  3. #3
    Eng
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    thnx chip
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