How can I improve this tree diagram, for the Multivariable Chain Rule with all partial derivatives?

How can I better Figure 2 in James Stewart, Daniel Clegg, Saleem Watson, Calculus Early Transcendentals (2021 9 ed), p. 987? Addition and multiplication are missing. Figure 2 fails to picture what shall be added, and what shall be multiplied. Figure 2 keeps rooking my students into mixing up + and ×! How can I illustrate the correct combination of products and sums?

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How can I improve this tree diagram, for the Multivariable Chain Rule with all partial derivatives? [duplicate]

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