It can be a silly question but I could not be sure at all.
I have a function as follows ;
I know that $z = F(c)$. So, in $z$, there is some term $c$.
When I take the partial derivative of $f(c,z)$, I think I must take into account the variation of $z$ which depends on $c$. Am I right ?
Because when I think to the logic of partial derivative, we just consider the variation of the variable of interest (which is $c$ in this case.) and the other terms are held constant.
Thanks in advance.