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Oct 3, 2021 at 20:16 history edited Thierry CC BY-SA 4.0
There was some confusion about whether I originally meant left or right so I made it more explicit.
S Sep 30, 2021 at 0:43 history suggested Jane N. CC BY-SA 4.0
the author made a little mistake by writing left when he / she meant right
Sep 27, 2021 at 15:05 comment added Steven Gubkin One can view x and y as projection functions from the curve to the axes, and then the manipulations make sense. However this is multivariable calculus (even differential geometry) and is (I think) too much for students to handle if you want them to actually have a logical view of the subject.
Sep 27, 2021 at 15:03 comment added Steven Gubkin Completely agree. Too often implicit differentiation is taught as if one is manipulating the variables x and y. Naming the implicitly defined function, and emphasizing that it is a function (whether or not one can find a closed form algebraic expression for it) is essential.
Sep 27, 2021 at 10:13 review Suggested edits
S Sep 30, 2021 at 0:43
Sep 27, 2021 at 1:18 history answered Thierry CC BY-SA 4.0