Jacobian with Function Handles and varying inputs

I created a code that builds a Jacobian cell array of function handles, but now I want to call each function and pass through the necessary variables to solve it for a Multi-Newton Raphson Method solver. The problem is, I don't know how to identify which independent variables are necessary to solve each function stored in the Jacobian. Some depend on x, some y, and some x and y. How do I identify which variables are needed to solve each function?

[Bruno Pop-Stefanov]

Could you please paste or attach your code to your question so we can understand your question a little bit better? Thank you.