I have the following two functions of $x$:
$ f(x) = \frac{c}{c + (N-1)o + Nd + xl}$
$g(x) = ae + (1-a)\frac{1}{x+2N}$
with $0 \leq a, e, c, o, d, l \leq 1$ and $N, x \in \mathbb{N}^+$.
For both functions increasing $x$ is obviously associated with a decreasing value of the function. And both decreases are non-linear (as $x$ is in the denominator).
Is there a way to further differentiate the functions with respect to how strong they decrease or any other information of how they differentially react to changes in $x$?