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Jul 21, 2022 at 18:13 comment added David Another useful notation: you can denote $f^{(0,1)}$ as the first derivative with respect to the second argument, $f^{(1,0)}$ as the first derivative with respect to the first argument, and so on. This notation is especially useful when there's excessive ambiguity about $\partial f/\partial y$, $\partial f/\partial y'$, $\partial f/\partial Y$ or $\partial f/\partial Y'$, because it makes the labeling/order of the arguments explicit.
Jul 21, 2022 at 18:13 comment added David Another useful notation: you can denote $f^{(0,1)}$ as the first derivative with respect to the second argument, $f^{(1,0)}$ as the first derivative with respect to the first argument, and so on. This notation is especially useful when there's excessive ambiguity about $\partial f/\partial y$, $\partial f/\partial y'$, $\partial f/\partial Y$ or $\partial f/\partial Y'$, because it makes the labeling/order of the arguments explicit.
Jul 21, 2022 at 17:48 comment added hft You are welcome. Good luck with your studies.
Jul 21, 2022 at 17:48 comment added user1070087 Oh! This makes so much sense now! Thank you so much!!
Jul 21, 2022 at 17:47 vote accept user1070087
Jul 21, 2022 at 17:45 history answered hft CC BY-SA 4.0