Derivative of a Higher-Order Function

Posted by Claudiu on Stack Overflow See other posts from Stack Overflow or by Claudiu
Published on 2008-11-26T15:18:58Z Indexed on 2010/04/30 19:17 UTC
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This is in the context of Automatic Differentiation - what would such a system do with a function like map, or filter - or even one of the SKI Combinators?

Example: I have the following function:

def func(x):
    return sum(map(lambda a: a**x, range(20)))

What would its derivative be? What will an AD system yield as a result? (This function is well-defined on real-number inputs).

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