∇ ·(f A)=f(∇ ·A)+A·(∇ f)

In[79]:=

? Div

Div[f] gives the divergence of the vector-valued function f in the default coordinate system. Div[f, coordsys] gives the divergence of f in the coordinate system coordsys. More…

In[80]:=

? Grad

Grad[f] gives the gradient of the scalar function f in the default coordinate system. Grad[f, coordsys] gives the gradient of f in the coordinate system coordsys. More…

In[85]:=

Div[f a] - f Div[a] - a . Grad[f]//Simplify

Out[85]=

0


Created by Mathematica  (August 6, 2004)