This may seem kinda stupid, but what I have is:
$\frac xy + \frac yx = a$ (a is a constant)
this is a simple implicit differentiation that I can solve, however what I'm trying to do is introducing a new variable z for example, and letting it equal to x/y
so it becomes:
$z + \frac1z = a$
and then differentiating in terms of $Z$ in order to find $\frac{dy}{dx}$, however I'm not sure if I can do that and if that will give me $\frac{dy}{dx}$, I would appreciate it if someone can give me a hint, thanks in advance!
2026-04-01 21:57:54.1775080674
Introducing a new variable in implicit differentiation
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