# Tensor Derivatives, General Relativity

1. Feb 7, 2009

### Reedeegi

1. The problem statement, all variables and given/known data
Given U$$\alpha$$ = (1+t2, t2, t√2, 0), calculate
$\partial_{\beta}D^{\alpha}$

2. Relevant equations
$\partial_{\beta}D^{\alpha}$ = $$\frac{\partial D^{\alpha}}{\partial x^{\beta}}$$

3. The attempt at a solution
I don't really know where to start, the indices drive me insane. All I need is the method, not the answer.

2. Feb 7, 2009

### tiny-tim

Hi Reedeegi!

(have a a curly d: ∂ and an alpha: α and a beta: β )

I assume you mean that at the point (t,x,y,z), the vector U is (1+t2, t2, t√2, 0) …

then for example ∂tUy = ∂Uy/∂t = ∂(t√2)/∂t = √2 …