Timeline for Derivative chain rule

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Sep 21 '18 at 2:01 history CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
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Jun 26 '17 at 19:27 answer timeline score: 1
Jun 26 '17 at 9:07 comment @Kirill Thanks. $dw/dy_{N-1}$ comes from applying the chain rule as I showed above (and yes in the above equations, $d$ is for total derivative and $\partial$ is for partial derivatives). This is an active community and thus I posted this question here with the hope of having someone good at maths to help me :D
Jun 25 '17 at 23:38 comment I think the notation is a little confusing here, because some of these derivatives are partial derivatives, keeping $w$ constant, and others are total derivatives. I suspect that's where you went wrong. For example, $w$ doesn't explicitly depend on $y_{N-1}$, so why do you get the term $dw/dy_{N-1}$? Doesn't that look strange? Try a scalar case first, or maybe apply the chain rule in the forward direction instead. This is really a pure mathematics question, since there isn't anything specific to computational science, so it might be a little off-topic here.
Jun 25 '17 at 23:17 history edited
Fix likely typo (mathbb -> mathbf).
Jun 25 '17 at 20:57 history asked