Mathematica: How to define the following "derivative"?

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How to define the following "derivative"?
I hope you found a solution that worked for you :)
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Thanks to all those great people for their contributions!

(mathematica.stackexchange.com/users/41058/john-taylor)John Taylor
(mathematica.stackexchange.com/users/75628/domen)Domen
(mathematica.stackexchange.com/users/41058/john-taylor)John Taylor
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symbolic rule syntax




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Tags:
symbolic
rule
syntax