I want to derive an expression with respect to each variable of a function $f: \mathbb R^n \rightarrow \mathbb R$. More precisely:
with $n\in \mathbb N$ generic and $g: \mathbb R \rightarrow \mathbb R$ is known function (for instance $ g(y) = \arcsin(y)$).
Do you know how to get a symbolic result? I think the use of blanks __ is the right way to go, but I cannot figure out how.
I'm looking for an output result of the form (with $n$ unspecified)
where $i$ is a (possibly multi-)index and $h$ some function of the partial derivatives of $f$ that depends on the known function $g$.