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I'm trying to find a way to get $\frac{\partial}{\partial w}$'s result as $2(xw - y) * r$. I have no idea how to do it, but the derivative of $\frac{d}{dw}\left(xw\:-\:y\right)\cdot \:r$ is $\frac{d}{dw}(\left(xw\:-\:y\right)\cdot \:r(x,w,y))$ as can be seen here (if I understood right). $r$ is a variable, not a function, and outside of functions, I haven't seen variables separated with commas.

Any idea what does it mean?

Gergő Horváth
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    Perhaps your calculus textbook has "chain rule for partial derivatives" listed in the index. Writing $r(x,w,y)$ merely means that $r$ is a function of the three variables $x,w,y$. – GEdgar Nov 15 '20 at 17:19
  • For what function are you trying to take the partial derivative $\frac{\partial}{\partial w}$? – Jamāl Nov 15 '20 at 17:30
  • The symbolab webapp (your link) is interpreting "r" as a function of x,w,y. This may not be the case in your textbook. It would be helpful if you could post the full question – Scott Hahn Nov 15 '20 at 17:58

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