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Math Help - Find the peaks of an exponentially increasing sine function

  1. #1
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    Unhappy Find the peaks of an exponentially increasing sine function

    Hi,

    Can you please help me find the peaks of the following function.

    Find the peaks of an exponentially increasing sine function-codecogseqn-1-.gif

    I figured I could find them using the derivative but run stuck after finding the following derivative.

    Find the peaks of an exponentially increasing sine function-codecogseqn.gif

    I hope you can help me a bit.

    Cheers
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  2. #2
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    Re: Find the peaks of an exponentially increasing sine function

    There are an infinite number of peaks. What exactly are you looking for?
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  3. #3
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    Re: Find the peaks of an exponentially increasing sine function

    I require the coordinates for the first ten or so peaks.
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  4. #4
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    Re: Find the peaks of an exponentially increasing sine function

    {x -> 0.244984},
    {x -> 1.10815},
    {x -> 3.64288},
    {x -> 6.57833},
    {x -> 9.62956},
    {x -> 12.7223},
    {x -> 15.8336},
    {x -> 18.9547},
    {x -> 22.0815},
    {x -> 25.2119},
    {x -> 28.3448},
    {x -> 31.4794}

    I just dumped your function into Mathematica and numerically solved for the first 10 or so zeros of it's derivative. That's about all you can do here.
    Thanks from jmonkey
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  5. #5
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    Re: Find the peaks of an exponentially increasing sine function

    Hi,
    It always helps to sketch a graph. By peaks, I assume you mean relative maxima. In the attachment, the original function is shown in black and your derivative is in red. It looks from the graph that the maxima are all approximately on the line y = x. Maybe you or someone else could investigate this.

    Find the peaks of an exponentially increasing sine function-mhfcalc25.png
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