Hi! This problem is somewhat related to a thread that I have posted previously: Theorem considering multivariable calculus
The problem that I have now is the following: Say that I have an unknown function , but I know that there exist a known relation between , and that can be expressed as (or, equivalently, a known function satisfying that with ). Is there a way to write the derivative in terms of , , , and ? If not, why not?
Thanks for any help,