- #1

- 426

- 5

I have two vector fields [itex] \vec{B}[/itex] and [itex]\vec{A}[/itex] related by:

[itex] \vec{B}=\nabla \times \vec{A}[/itex]

How can I simplify the following term:

[itex]\frac{\partial }{\partial \vec{A}} B^{2}[/itex]

where [itex]\frac{\partial }{\partial \vec{A}}=(\frac{\partial }{\partial A_{x}} \frac{\partial }{\partial A_{y}} \frac{\partial }{\partial A_{z}} )[/itex]

I would also like to know what are this kind of derivatives ( derivatives with respect to a vector field) called.

Thanks.