Fit curve and/or linear approximation to data points in Maxima

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I have a set of data points that lie on a simple curve and I'd like to find a tangent to that curve at a specific point. I don't have an expression for the curve. Can Maxima calculate either the tangent line or give me an expression for a good curve that fits my data points? It's only 20 data points if that makes any difference.

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