Let X be the special vector field $\sum x_iU_i$, where $x_1,x_2,x_3$ are the natural coordinate functions of $R^3$. Prove that $\nabla_v$X = V for every vector field V.
I know how to compute covariant derivatives when given the vector, F, and p. However, I'm not sure how to proceed with this. Any guidance will be greatly appreciate it.
Thanks in advance!