Calculate the derivative of a data-function in r

Question

Is there an easy way to calculate the derivative of non-liner functions that are give by data?

for example:

x = 1 / c(1000:1)

y = x^-1.5
ycs = cumsu         


        

Answer 1

There is also gradient from the pracma package.

grad <- pracma::gradient(ycs, h1 = x)
plot(grad, col = 1)