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Math Help - newton raphson

  1. #1
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    newton raphson

    Hi guys, doing this on spread sheets ~ exel.


    Using newtons-Raphson method of succesive approximation to determine to 4 decimal places the root of equation 0.25x^2-6sin2x =0 in the region of x = 4.2

    If f(x) = 0.25^2-6sin2x

    Whats would f'(x) be???

    I think maybe f'(x) = 0.50x + 12cos2x ???
    Last edited by Parton-Bill; December 17th 2008 at 05:07 AM. Reason: adding info
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  2. #2
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    Newton Raphson

    Hi -

    Quote Originally Posted by Parton-Bill View Post
    Hi guys, doing this on spread sheets ~ exel.


    Using newtons-Raphson method of succesive approximation to determine to 4 decimal places the root of equation 0.25x^2-6sin2x =0 in the region of x = 4.2

    If f(x) = 0.25^2-6sin2x

    Whats would f'(x) be???

    I think maybe f'(x) = 0.50x + 12cos2x ???
    \frac{d}{dx} (\sin x) = \cos x

    So: f(x) = 0.25x^2-6sin2x \implies f'(x)=0.50x - 12 \cos2x

    Grandad
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