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Isn't there a better, more clearer, and more intuitive notation for calculus than dx/dy, or even f'? I feel these notations are somewhat ambiguous and bordering on abuse of notation.



Yes. There is an operator notation for the derivative where you can both avoid the not-quite-division and specify the variable you're dealing with. https://en.wikipedia.org/wiki/Notation_for_differentiation#E...




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