1.

Let V(x, y, z) = xy + yz + zx, x, y, z ∈ R. Find the differential dV.

Answer»

V(x, y, z) = xy + yz + zx 

Vx = y + z 

Vy = x + z 

Vz = y + x 

The differential is dV = (y + z) dx + (x + z) dy + (y + x) dz



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