Find the divergence of the vector field below.

Question

Find the divergence of the vector field below.

 

 

 

f =(X^2 YZ, -XY^2 Z, -XYZ^2)

Answer 1

∂f₁/∂x = 2xyz

∂f₂/∂y = -2xyz

∂f₃/∂z = -2xyz

 

div(f) = ∇⋅f = ∂f₁/∂x + ∂f₂/∂y + ∂f₃/∂z = -2xyz