How to find the derivative of implicit function to x? For example, why does Y ^ 5 get 5Y '* y ^ 4 when deriving from x Consider y as a function of X,

How to find the derivative of implicit function to x? For example, why does Y ^ 5 get 5Y '* y ^ 4 when deriving from x Consider y as a function of X,

Firstly, there is an implicit function theorem, which provides a theoretical basis for the correctness of this method
Why does Y ^ 5 get 5Y & # 39; * y ^ 4 to derive x
Chain rule
Consider y as a function containing X