Let va be a dual vector field. Show that the quantity ∂[a vb] transforms as a type (0, 2) tensor under coordinate transformations.
wu' = (dxu / dxu') wu
The Attempt at a Solution
My main problem is that I don't know what the brackets mean.
I know if they weren't there it doesn't transform like a tensor because there's a second derivative when you do out the math and it's non-tensorial that way.
Does anyone know of a good online resource that describes how to transform vectors? My textbook doesn't give very concrete examples.