Dx + dy + dz = D/Dx (dx) + D/Dy(dy) + D/Dz (dz)?

D/Dx = partial derivative
can you please assist me in workingg out this question. make the RHS = LHS.

Thanks you... as soon as possible PLEASE!
Update: Ignore the capital D at the start, it is a common D. (If you see it like that)
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