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Does this particular notation for derivatives imply anything in particular? [duplicate]

In some physics textbooks (and in those of other sciences that use physics, like soil science), I've seen some derivatives written as: $$\frac{\delta f}{\delta t} $$ Which is a bit strange. Does this ...
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1 answer
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Functional derivatives: Fréchet, Gateaux derivatives and Euler-Lagrange operators

What is the relationship between Fréchet derivatives, Gateaux derivatives and the usual Euler-Lagrange operator (ELO)? Is the ELO the Fréchet derivative, the Gateaux derivative or does it depends on ...
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2 answers
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How do I find the function derivative $(\delta/\delta \phi) (\partial_\mu \phi)$?

The question is simple: How do I find the function derivative of $$(\delta/\delta \phi(x)) (\partial_\mu \phi(x))~?$$ As far as I can tell, I cannot use any of the standard computational rules for the ...