I am trying to show that $∇$ x $\left(f^2∇f\right)=0$ (the zero vector)
I know that from the expansion we get $∇f^2$ x $∇f\:+\:f^2∇$ x $∇f$ From this we can say that $f^2∇$ x $∇f$ = 0 as the curve of a gradient is 0. That leaves me with $∇f^2$ x $∇f$. How do i show that this is also equal to 0?