Hello people!
I've been working on this problem, but I can't find how differentials of V on the left side of the equation appear.

***
Show, by expansion of the surface integral, that (see attached image).
Hint: choose the volume to be a differential volume, dx dy dz .
***

Here d(sigma) is a vector surface element, V is a vector field, and d(tau) is a infinitesimal volume element.
Well, from the right side of the equation is clear that derivatives of V will appear, but I can't do the same on the left side, where I only get components of the vector field multiplied by infinitesimal ar

Question

Hello people!
I've been working on this problem, but I can't find how differentials of V on the left side of the equation appear.

***
Show, by expansion of the surface integral, that (see attached image).
Hint: choose the volume to be a differential volume, dx dy dz .
***

Here d(sigma) is a vector surface element, V is a vector field, and d(tau) is a infinitesimal volume element.
Well, from the right side of the equation is clear that derivatives of V will appear, but I can't do the same on the left side, where I only get components of the vector field multiplied by infinitesimal ar

anonymous · Answer

look at the number 1.10.6