# Thread: Find the peaks of an exponentially increasing sine function

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

Hi,

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

I hope you can help me a bit.

Cheers

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

There are an infinite number of peaks. What exactly are you looking for?

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

I require the coordinates for the first ten or so peaks.

4. ## 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.

5. ## 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.