> Sent: Friday, April 06, 2018 at 5:55 AM
> From: "David Winsemius" <dwinsem...@comcast.net>
>
>
> Not correct. You already have `predict`. It is capale of using the `newdata`
> values to do interpolation with the values of the coefficients in the model.
> See:
>
> ?predict
>

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The ยง details did not mention interpolation explicity; thanks.
> The original question asked for a derivative (i.e. a "gradient"), but so far
> it's not clear that you understand the mathematical definiton of that term.
> We also remain unclear whether this is homework.
>
The motivation of this post was simple differentiation of a tangent point
(dy/dx) manually, then wondering how to re-think in modern-day computing terms.
Hence the original question about asking the appropriate functions/syntax to
read further ("curiosity"), not the answer (indeed, "homework"). :)
Personal curiosity should be considered "homework".
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