[R] How to calculate the derivatives at each data point?

[Ivan Krylov]

В Tue, 31 Jan 2023 11:16:21 +0200
konstantinos christodoulou <konstantinos.christodoulou1 using gmail.com>
пишет:

> How can I find the derivatives of the atmospheric measurements at each
> altitude?

Welcome to the world of finite difference methods! If you can find a
good textbook on them, it may be a good idea to skim it.

pracma::fornberg() will give you a numerically stable approximation
(otherwise the Vandermonde matrix required to obtain the Taylor series
coefficients may get hard to solve) to the derivative values you're
interested in, but do note that they are only approximations. In
particular, there's less information for the values at the ends of
the altitude range than for the points in the middle.

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-- 
Best regards,
Ivan