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Estimating exponential decay time constant - taking tangent lines

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Hello,

 

How would you go about estimating a first order decay time constant? I have a system that loses heat very slowly and I wish to estimate the time constant from the first part of the data to allow for more frequent tests (I know what it will end up decaying to). 

 

I know that I can make a good estimate based on the initial slope of the graph but I don't know how to implement this in LabVIEW. Does anyone know how I can make the VI calculate a tangent line to a graph and find where it intersects another line?

 


Thanks


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