I am trying to compute the derivative of a logarithm sum:
$f(y) =log(\frac{\sum_{i = 1}^{n} y_i}{n})$
Y is a set of values of n values {$y_1,y_2,...,y_n$}
This is what I got so far, but I am not familiar with this kind of derivative, can it actually be done?
$\frac{df(y)}{dy}=\frac{1}{\sum_{i = 1}^{n}y_i}$