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I came upon an expression like that: ' [tex]\frac{\delta f(x)}{\delta x}[/tex] ' several times but can't figure out what it's used for.

In Wikipedia it's posted that this derivative type is used when we consider infinitesimally small argument 'x'. So, does this mean:

[tex]\frac{\delta f(x)}{\delta x}=\lim_{x\rightarrow 0}\frac{df(x)}{dx}[/tex] ???

What's the sense of defining such a derivative? Where do we see its application?

I was also wondering what type of derivative ' [tex]\partial, \delta, d,[/tex] ' the [tex]\Delta[/tex], we use in physics, stands for?

Thanks in advance!

Best regards, Marin

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# Differential operators

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