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For questions on writing functions (pure or using Set/SetDelayed) for any purpose, including the features that may be incorporated in those functions, such as options, patterns and conditions.
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Defining arbitrary order derivatives function [duplicate]
I have a function $\phi(t)$ and I want to define a function $\phi D(t,r):=\phi^{(r)}(t)$, in other words evaluate the $r$'th derivative of $\phi$ at $t$. The naive code that I have is:
phiD[t_, r_] = …
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Defining arbitrary order derivatives function
In the comments, Artes suggested the Derivative function. This works:
phiD[t_,r_]=Derivative[r][phi][t]