Help! Covariant Derivative of Ricci Tensor the hard way.

by nobraner
Tags: covariant derivative, einstein tensor, ricci tensor
 P: 14 I am trying to calculate the covariant derivative of the Ricci Tensor the way Einstein did it, but I keep coming up with $\nabla_{μ}$R$_{αβ}$=$\frac{∂}{∂x^{μ}}$R$_{αβ}$-2$\Gamma^{α}_{μ\gamma}$R$_{αβ}$ or $\nabla_{μ}$R$_{αβ}$=$\frac{∂}{∂x^{μ}}$R$_{αβ}$-$\Gamma^{α}_{μ\gamma}$R$_{αβ}$-$\Gamma^{β}_{μ\gamma}$R$_{αβ}$ Any assistance will be much appreciated.

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