Mathematica Mathematica Question: Finding local maximums

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To find multiple peaks in a graph generated by an interpolating function in Mathematica, the user is seeking a method to identify all 10 peaks instead of just one using FindMaximum. The proposed solution involves using the Union function combined with a Table to iterate over a range of initial values (xInit) within specified limits (xMin, xMax) and step size (xStep). This approach aims to capture all local maxima by starting the search from various initial points across the interval. The discussion emphasizes the need for an effective strategy to ensure that all peaks are detected in the sinusoidal-like graph.
dreiter
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Hi all! This is a generic Mathematica question, which hopefully someone can help me with! :)

I have a set of data points.
I have an interpolating function from those points.
I have a graph of that interpolation function.

The graph goes like Sin^2, and has about 10 peaks. I want to have Mathematica find those 10 peaks. FindMaximum only finds 1 peak. How can I get it to find all 10?
 
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I would use:

Union[Table[FindMaximum[f[x], {x, xInit}], {xInit, xMin, xMax, xStep}]]
 

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