Partial derivates check $wx_{id}$ versus ($wx_{id}^2$ + $wx_{id}^3$)? (w.r.t w)

Question

I'm trying to work on a problem (to do with neural networks), but my maths background is VERY limited and I was wondering whether someone could confirm what the general difference of computing the partial derivatives (with respect to w) of the two forms that I mention below,

I thought that this one would be $x_{id}$,

and would be $2x_{id}$ + $3x_{id}^2$?

I feel like I might have gotten the wrong idea and that these wouldn't be this simple to generalise.