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Where the g's are the components of the metric tensor. I understood most of the derivation except for the part where they wrote, [tex] \frac{ \partial g_{ij}}{\partial u^{k}}= \frac{\partial e_{i}}{\partial u^{k}} \cdot e_{j}+e_{i} \cdot \frac{\partial e_{j}}{\partial u^{k}}[/tex]

Where the e's are the basis vectors. I just can't seem to understand how they got this equation.