Given a function $c(r)$, where $r \in [0,1]$ and another function
$ x = \alpha \times c(0) $
where $\alpha$ is a constant and $c(0)$ is the function $c$ evaluated at $r = 0$, my question is - what is $\frac{dx}{dc}?$
As $c(r)$ varies, $c(0)$ will vary as well and so I assume the answer is $\frac{dx}{dc}$= $\alpha \frac{d c(0)}{d c}$. But if so, how do I evaluate $\frac{d c(0)}{d c}$?
Thanks!