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- Derivatives in first year calculus
- Gateaux Derivatives
- Frechet Derivatives
- Covariant Derivatives
- Lie Derivatives
- Exterior Derivatives
- Material Derivatives

So, I learn about Gateaux and Frechet when studying calculus of variations

I learn about Covariant, Lie and Exterior when studying calculus on manifolds

I learn about Material derivatives when studying fluid mechanics

But I would have never thought there would be so many.

Is this about all there is?

May I ask if someone can categorize these?

When are they used? How are they used? Are there more?

Can you possibly create a table? Are there subsets of each other?

Are some a manifestation of only physics or engineering or math?

Can anyone bring order out of this chaos for me?

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